Cuesta College Algebra Questions

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21. [-70.6 Points]
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LARCOLALG10 1.7.032.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the inequality. Then graph the solution set.
-93-4x – 5 < 3 - 15x -10 -8 -6 -4 -2 0 2 4 6 8 10 0 0 0 NO SOL WebAssign NumberLine Help Need Help? Read It COL o 9:53 AM 2/11/2022 8 Grades for Mark Diala: MAC1105 X MAC1105 Final - MAC1105 - 1:A X + >
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LARCOLALG10 25.023
MY NOTES
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The function is related to one of the parent functions described in an earlier section
96)–(x-2)
(a) Identify the parent function.
(b) Describe the sequence of transformations from to g. (Select all that apply.)
vertical shift of 2 units upward
reflection in the x-axis
vertical shrink
vertical stretch
horizontal shift of 2 units night
(c) Sketch the graph of 9
0
(d) Use function notation to write g in terms of
9(x) —
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LARCOLALG10 2.6.016.
MY NOTES
ASK YOUR TEACHER
Evaluate the function for f(x) = x + 3 and g(x)=x2-2.
(F-9X5)
(7-95)-1
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g(x) = -1
FT
x
7.
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LARCOLALG10 2.6.016.
MY NOTES
ASK YOUR TEACHER
Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f-g)(5)
(f-9)(5) =
X
8.
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LARCOLALG10 2.6.022.
MY NOTES
ASK YOUR TEACHER
Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f/g)(0)
(f/g)(0) =
x
9.
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LARCOLALG10 2.7.057.
MY NOTES
ASK YOUR TEACHER
Determine whether the function has an inverse function.
x + 1
g(x) =
8
O Yes, g does have an inverse.
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Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f/g)0)
(f/g)0) =
X
9.
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LARCOLALG10 2.7.057.
MY NOTES
ASK YOUR TEACHER
Determine whether the function has an inverse function.
g(x) =
X + 1
8
Yes, g does have an inverse.
O No, g does not have an inverse.
x
If it does, then find the inverse function. (If an answer does not exist, enter DNE.)
g–(x) =
x
10.
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LARCOLALG10 3.1.013.
MY NOTES
ASK YOUR TEACHER
Write the quadratic function in standard form.
f(x) = x2 – 6x
f(x) =
x
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10.
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LARCOLALG10 3.1.013.
MY NOTES
ASK YOUR TEACHER
Write the quadratic function in standard form.
MX) – 2-X
X
Sketch its graph
-30
10
20
-30
10
-10
-10
-20
-20
300
101
-30
-20
-10
10
20
-30
-20 -10
10 20
30
-10
-20
– 20
-30
-30
Identify the vertex, axis of symmetry, and x-interceptis). (If an answer does not edst, enter DNE.)
vertes (x,x))-(
axis of symmetry
X
x-intercept
(x,x) – (
(smaller x-value)
X
intercept
(x, Rx)) – (
(larger x-value)
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LARCOLALG10 3.3.077
MY NOTES
ASK YOUR TEACHER
Simplify the rational expression by using long division or synthetic division.
x+x2-3x – 11
X+9
2-ax-9
12.
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LARCOLALG10 4.2.019.
MY NOTES
ASK YOUR TEACHER
Consider the following.
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-&-9,
12
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LARCOLALG10 4.2.019.
MY NOTES
ASK YOUR TEACHER
Consider the following.
Cx – 4x +9
a) State the domain of the function.
O all real numbers x
O all real numbers x except —
O all real numbers x exotx —
O all real numbers x cox
O all real numbers x except – 4
(b) Identify all intercepts. (If an answer does not exist, enter DNE.)
x-intercept (XVI-
y-intercept(x,-
(c) Find any vertical and horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If there are no asymptotes, enter DNE.)
(d) Plot additional solution points as needed to sketch the graph of the rational function.
151
5
10
15
-S
– 10
-10
151
10
-15
-5
10
-10
-15
13.
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LARCOLALG10 5.1.016.
MY NOTES
ASK YOUR TEACHER
Match the function with its graph
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13.
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LARCOLALG10 5.1.016.
MY NOTES
ASK YOUR TEACHER
Match the function with its graph.
f(x) = 3x – 3
y
10
10
8
6
را از
4
(0,1)
X
X
10
2
6
8
2
4
у
207
101
8
15
10
FO, 3)
(0,1)
X
X
2
4
2
4
14.
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LARCOLALG10 5.1.028.
MY NOTES
ASK YOUR TEACHER
Use the One-to-One Property to solve the equation for x.
3* – 9
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LARCOLALG10 5.2.015.
MY NOTES
ASK YOUR TEACHER
Evaluate the logarithm at the given value of x without using a calculator.
Function Value
f(x) = log2(x)
x = 128
X
16.
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LARCOLALG10 5.2.028.MI.
MY NOTES
ASK YOUR TEACHER
Use the properties of logarithms to simplify the expression.
3l0g3(9)
x
17.
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LARCOLALG10 5.2.032.
MY NOTES
ASK YOUR TEACHER
Use the One-to-one Property to solve the equation for x. (Enter your answers as a comma-separated list.)
log(x2 + 6x) = log(27)
x= 3, 9
X
18.
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LARCOLALG10 5.3.009.
MY NOTES
ASK YOUR TEACHER
Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.
log (14)
2.402
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LARCOLALG10 5.3.046.
MY NOTES
ASK YOUR TEACHER
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.)
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20.
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LARCOLALG10 5.4.012.
MY NOTES
ASK YOUR TEACHER
Solve for x. (Round your answer to three decimal places.)
1
e =
6
X =
x
21.
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LARCOLALG10 5.4.015.
MY NOTES
ASK YOUR TEACHER
Solve for x.
log2 * = 5
x = 32
22.
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LARCOLALG10 5.4.024.
MY NOTES
ASK YOUR TEACHER
Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated list.)
6x + 5 = 29
x =
X
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