California Southern University Linear and Quadratic Functions Unit Exam

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David Williams 107
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Al
Linear and Quadratic Functions Take Test: 1.08 Linear and Quadratic Functions Unit Exam
Take Test: 1.08 Linear and Quadratic Functions
Unit Exam
Test Information
Description
Instructions
Multiple Attempts Not allowed. This test can only be taken once.
Force Completion This test can be saved and resumed later.
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QUESTION 1
The following is an example of a function.
TRUE
Save and Submit
2 points
Save Answer
?
FALSE
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QUESTION 2
2 points
Save Answer
2 points
Save Answer
2 points
Save Answer
What is the inverse of y = 4x – 2?
y = 2x + 4
QUESTION 3
What is the range of the following function?
y≥1
y≥2
y ≥ -2
y > -1
QUESTION 4
Find
if f(x) = 2x – 1 and g(x) = x + 2.
2x – 3
2x + 1
Question Completion Status:
2x – 1
2x + 3
QUESTION 5
2 points
Save Answer
2 points
Save Answer
2 points
Save Answer
2 points
Save Answer
2 points
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What is the solution of -2x + 8 = 20?
x = -6
x=4
x=6
x = -4
QUESTION 6
What is the solution of 2(x – 5) + 4 = 30?
x = 20
x = -10
x = 16
x = 18
QUESTION 7
What is the solution of
?
x ≤ -3 and x ≥ -7
No solution
x ≥ -3 and x ≤ -7
x ≤ -3 or x ≥ -7
QUESTION 8
Find the slope between points (2, 10) and (-5, 12).
QUESTION 9
What is the slope of the following linear function?
Question Completion Status:
2
-2
QUESTION 10
What is the equation of the following linear function?
2 points
Save Answer
Question Completion Status:
y = -3x
y = 3x
y = -2x
y = 2x
Q U E S T I O N 11
2 points
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Find the equation of a line that goes through points (0, 4) and (1, 6).
y = -2x – 4
y = 2x + 4
y = 4x + 2
y = -4x – 2
QUESTION 12
2 points
Save Answer
What is the equation of the line that has a slope of -1 and goes through point (0, 5)?
y = -x + 5
y = -2x + 5
y = -x
y = 2x + 5
QUESTION 13
Question Completion Status:
2 points
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2 points
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The following is the graph of -x + y = -3.
TRUE
FALSE
QUESTION 14
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TRUE
FALSE
QUESTION 15
2 points
Save Answer
Question Completion Status:
TRUE
FALSE
QUESTION 16
Write the equation of the following inequality.
2 points
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y < 3x + 3 y > -3x + 3
y > 3x + 3
y < -3x + 3 QUESTION 17 2 points Save Answer 2 points Save Answer The parent function of a quadratic equation is f(x) = x2. TRUE FALSE QUESTION 18 Explain the effect that "a" has on the function f(x) = a(x - h)2 + k. The "a" compresses (a < 0) or stretches (a > 0) a quadratic function.
The “a” moves the function left (a < 0) or right (a > 0).
The “a” moves the function up (a > 0) or down (a < 0). The "a" reflects the graph across the y-axis. QUESTION 19 2 points Save Answer Question Completion Status: 3x2 - 2. Graph is compressed by a factor of 3 and moves 2 units up. Graph is stretched by a factor of 3 and moves 2 units down. Graph is compressed by a factor of 3 and moves 2 units down. Graph is stretched by a factor of 3 and moves 2 units up. QUESTION 20 2 points Save Answer 2 points Save Answer 2 points Save Answer The following is the graph of f(x) = (x − 5)2 + 2. TRUE FALSE QUESTION 21 Solve the quadratic function x2 - 8x + 16 = 0 for x. x = 4 or x = -4 x = 4 (double root) x = 2 or x = 4 x = 2 (double root) QUESTION 22 Solve 3x2 - 3x - 6 = 0. {1, 2} Question Completion Status: {-2, 1} {-1, 2} {-2, -1} QUESTION 23 2 points Save Answer Determine the number of solutions for the quadratic function f(x) = x2 - 6x + 9. No real solutions 1 solution (double root) 2 distinct real solutions QUESTION 24 The solution to -x2 − 3x + 1 = 0 is 2 points Save Answer 2 points Save Answer 2 points Save Answer . TRUE FALSE QUESTION 25 The solution to 3x2 − 2x = 12 is . TRUE FALSE QUESTION 26 Question Completion Status: {-4, 0} {5, 1} {-4, 2} {2, 4} QUESTION 27 2 points Save Answer 2 points Save Answer What is the vertex of f(x) = x2 + 2x - 8? (-1, -9) (1, 9) (2, 5) (-2, -5) QUESTION 28 An object is launched at 25 m/s from a height of 80 m. The equation for the height (h) in terms of time (t) is given by h(t) = -4.9t2 + 25t + 80. What is the object's maximum height? Approximately 109 ft Approximately 110 ft Approximately 111 ft Approximately 112 ft QUESTION 29 Question Completion Status: 2 points Save Answer 2 points Save Answer What is the range of the following function? y≤1 y ≤ -1 y≥1 y ≥ -1 QUESTION 30 What is the quadratic function that is created with roots -10 and -6 and a vertex at (-8, -8)? f(x) = -2x2 + 32x + 120 f(x) = 2x2 - 32x + 120 f(x) = 2x2 + 32x - 120 f(x) = 2x2 + 32x + 120 QUESTION 31 2 points Save Answer Question Completion Status: QUESTION 32 2 points Save Answer You have a pool that measure 8 yards by 10 yards. You want to build a deck around your pool of uniform width increasing the total area of the pool to 120 square yards. What is the width of the deck? 2 yards 1 yard 3 yards 4 yards Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit Question Completion Status: KCR Homeroom H Al David Williams 107 Community ? Rational Functions Take Test: 3.04 Rational Functions Unit Exam Take Test: 3.04 Rational Functions Unit Exam Test Information Description Instructions Multiple Attempts Not allowed. This test can only be taken once. Force Completion This test can be saved and resumed later. Question Completion Status: Save All Answers QUESTION 1 Save and Submit 2 points Save Answer 2 points Save Answer Which of the following represents a direct variation? y = -3x y = x2 − 2x + 5 QUESTION 2 If y varies directly as x, find the constant of variation if y = 34 when x = 2. 15 10 17 12 QUESTION 3 2 points If y varies inversely as x, find the constant of variation if y = 2 as x = -9. 4.5 -18 Save Answer QUESTION 4 2 points Save Answer Write the appropriate inverse variation equation if y = 6 when x = 3. QUESTION 5 2 points Save Answer Does the following graph represent a direct or inverse variation? Question Completion Status: Direct Variation Inverse Variation QUESTION 6 2 points If y varies directly as x, and y = 6 as x = -1, find y for the x-value of 5. -32 30 Save Answer -26 QUESTION 7 2 points Save Answer If y varies inversely as x, and y = 5 as x = -2, find y for the x-value of 3. 10 -10 QUESTION 8 The following is the graph of 2 points Save Answer 2 points Save Answer . Question Completion Status: TRUE FALSE QUESTION 9 What affect does k = -4 have on the parent function Graph moves 4 units to the right Graph moves 4 units to the left QUESTION 10 2 points Describe the transformations of the function Save Answer . Graph is stretched by a factor of , moves 8 units to the left and 10 units down. Graph is stretched by a factor of , moves 8 units to the left and 10 units up. Graph is stretched by a factor of , moves 8 units to the right and 10 units down. Graph is stretched by a factor of , moves 8 units to the right and 10 units up. Q U E S T I O N 11 2 points Save Answer 2 points Save Answer Question Completion Status: The graph moves 6 units to the right and 7 units down. The graph moves 6 units to the left and 7 units down. The graph moves 6 units to the right and 7 units up. QUESTION 12 The following is the graph of . TRUE FALSE QUESTION 13 The following is the graph of 2 points Save Answer 2 points Save Answer . Question Completion Status: TRUE FALSE QUESTION 14 Find the domain of All Real Numbers except x = 0 All Real Numbers x>0
All Real Numbers except x = 14
QUESTION 15
2 points
Save Answer
2 points
Save Answer
2 points
Save Answer
2 points
Save Answer
All Real Numbers except x = 7.
All Real Numbers
All Real Numbers except y = 4.
x>0
QUESTION 16
Find the domain of
All Real Numbers except x = -1
All Real Numbers
All Real Numbers except x = -4
x>0
QUESTION 17
The solution of
Question Completion Status:
is x = -1.
TRUE
FALSE
QUESTION 18
Solve
{-1}
{-1, 2}
{2}
{1, 2}
QUESTION 19
Solve
No Solution
{-1}
x=1
QUESTION 20
2 points
Save Answer
2 points
Save Answer
2 points
Save Answer
Solve
No solution
{3}
{-3}
QUESTION 21
What is the approximate value of the function at x = -1?
Question Completion Status:
-1
1
0.5
-0.5
QUESTION 22
What is the approximate value of the function at x = -2?
Question Completion Status:
2
-1
1
-2
QUESTION 23
2 points
Save Answer
2 points
Save Answer
Solve
x>0
QUESTION 24
Solve
x < -1 or x > 4
-1 < x < 4 QUESTION 25 2 points Save Answer Solve x < -9 or x > 3
-9 < x < 3 x>3
x < -9 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Question Completion Status: Save and Submit David Williams 107 Question Completion Status: KCR Homeroom Community ? H Exponential and Logarithmic Functions Al Take Test: 4.05 Solving Exponential and Logarithmic Equations Quiz Take Test: 4.05 Solving Exponential and Logarithmic Equations Quiz Test Information Description Instructions Multiple Attempts This test allows 3 attempts. This is attempt number 1. Force Completion This test can be saved and resumed later. Save All Answers QUESTION 1 Save and Submit 2 points Save Answer 2 points Save Answer 2 points Save Answer The solution of the equation x = log48 is approximately 1.2. TRUE FALSE QUESTION 2 The solution of the equation is approximately -2. TRUE FALSE QUESTION 3 Solve 9x = 15. Round your answer to the nearest hundredth. x ≈ 1.23 x ≈ 1.56 Question Completion Status: QUESTION 4 2 points Save Answer 2 points Save Answer Solve 3x = 23. Round your answer to the nearest hundredth. x ≈ 2.85 x ≈ 2.98 x ≈ 3.14 x ≈ 3.56 QUESTION 5 Solve logx = log(4x - 9). Round your answer to the nearest hundredth. x=3 x=4 x = -2 x = -1 QUESTION 6 2 points Save Answer 2 points Save Answer 2 points Save Answer Solve 6x = 9. Round your answer to the nearest hundredth. x ≈ 0.97 x ≈ 1.23 x ≈ 2.45 x ≈ 4.09 QUESTION 7 Solve 3x = 69. Round your answer to the nearest hundredth. x ≈ 4.89 x ≈ 2.13 x ≈ 3.85 x ≈ 4.23 QUESTION 8 What is the approximate value of the function at x = 2? Question Completion Status: 7 8 7.5 9 QUESTION 9 The approximate value of the function at x = 1 is 3. 2 points Save Answer Question Completion Status: TRUE FALSE QUESTION 10 The approximate value of the function at x = 0 is 2. 2 points Save Answer Question Completion Status: TRUE FALSE Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit David Williams Question Completion Status: KCR Homeroom Community H Al Trigonometric Functions Take Test: 5.04 Inverse Trigonometric Values Quiz Take Test: 5.04 Inverse Trigonometric Values Quiz Test Information Description Instructions Multiple Attempts This test allows 3 attempts. This is attempt number 1. Force Completion This test can be saved and resumed later. Save All Answers QUESTION 1 Save and Submit 2 points Save Answer Given sin A = .43 find angle A in degrees. Round your answer to the nearest hundredth. 22.67° 23.44° 25.47° 26.90° QUESTION 2 2 points Save Answer Given tan A = .29 find the angle A in degrees. Round your answer to the nearest hundredth. 12.19° 14.83° 16.17° 18.56° QUESTION 3 2 points Save Answer Given cos B = .12 find angle B in radians. Round your answer to the nearest hundredth. 1.45 radians 1 55 radians ? Question Completion Status: QUESTION 4 2 points Save Answer Given cos A = .29 find the angle A in radians. Round your answer to the nearest hundredth. 1.19 radians 1.28 radians 1.34 radians 1.46 radians QUESTION 5 2 points Save Answer 2 points Save Answer Given the following triangle, solve for angle Y. 49.54° 51.89° 54.23° 57.12° QUESTION 6 Given the following triangle, solve for angle Y. Question Completion Status: 40° 45° 50° 55° QUESTION 7 2 points Save Answer 2 points Save Answer Find angle A in the following triangle. 50.67° 49.23° 48.19° 51.89° QUESTION 8 Given the following triangle, solve for side YZ. Question Completion Status: 8.17 7.69 8.32 7.27 QUESTION 9 2 points Save Answer I want to build a right triangular deck behind my house. The hypotenuse of the deck will be 25 feet long. The other two sides of the deck will be equal in length. What is the length of the deck? 17.68 feet 15.98 feet 10.34 feet 9.32 feet QUESTION 10 2 points Save Answer You want to build a right triangular garden on the side of your house. The hypotenuse of the triangle measures 8 feet. The other two sides are equal. What are the lengths of the two sides? 5.43 feet Question Completion Status: 5.93 feet Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit