Miami Dade School Vertical Line Test Question

Question 12.5 Points
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
A. function
B. not a function
2.Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
1.
function
2.
not a function
Question 3
Solve the equation by completing the square.
x2 – 8x – 7 = 0
A.
B.
C.
D.
Question 4
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
x2 + 18x
A. 324; x2 + 18x + 324 = (x + 18)2
B. 9; x2 + 18x + 9 = (x + 81)2
C. 18; x2 + 18x + 18 = (x + 324)2
D. 81; x2 + 18x + 81 = (x + 9)2
Question 5
Evaluate the function at the given value of the independent variable and simplify.
A.-35
B.35
C.-5
D.5
Question 6
Use the given conditions to write an equation for the line in point-slope form.
Slope =
3_
4
, passing through (5, 7)
A. x – 7 =3/4
(y – 5)
B. y = 3/4
x+5
C. y + 7 = 3/4 (x + 5).
D. – 7 = 3/4 (x – 5)
Question 7
Solve the equation by factoring.
7 – 7x = (4x + 9)(x – 1)
A.{-4, 1}
B.
C. {-1, 4}
D.
Question 8
Solve the equation by factoring.
11×2 – 9x = 0
A.
B.
C. {0}
D.
Question 9
Give the domain and range of the relation.
{(-6, -3), (-8, -1), (-4, -7), (8, 2), (5, -4)}
A.
B.
C.
D.
domain = {8, -4, -6, -8, 5}; range = {2, -7, -3, -1, -4}
domain = {2, -7, -3, -1, -4}; range = {8, -4, -6, -8, 5}
domain = {8, 2, -4, -7, -6}; range = {-3, -8, -1, 5, -4}
domain = {-3, -8, -1, 5, -4}; range = {8, 2, -4, -7, -6}
Question 10
Given functions f and g, perform the indicated operations.
A.
B.
C.
D.
45×2 – 12
14×2 + 44x + 4
45×2 – 4x – 12
45×2 + 44x – 12
Question 11
Use the graph to determine the function’s domain and range.
A. domain: [2, 4]
range: (-
B.
C.
,
)
domain: (range: [0, 4]
domain: (range: [2, 4]
D. domain: [0, 4]
range: (-
,
)
,
,
)
)
Question 12
Compute the discriminant. Then determine the number and type of solutions for the given equation.
4×2 = 2x – 4
A.68; two unequal real solutions
B. -60; two complex imaginary solutions
C. 0; one real solution
Question 13
Use the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 3(x – 2)2 – 6
A.
B.
C.
D.
Question 14
Use the vertex and intercepts to sketch the graph of the quadratic function.
y – 2 = (x + 3)2
A.
B.
C.
D.
Question 15
Use the given conditions to write an equation for the line in the indicated form.
Passing through (5, 3) and perpendicular to the line whose equation is y =
slope-intercept form
A. y = 7x – 38
B. y = – 7x – 38
C. y = – 7x + 38
1/7
D. y = –
x-
38/
7
Question 16
Use the given conditions to write an equation for the line in the indicated form.
Passing through (4, -4) and parallel to the line whose equation is y = -8x + 4;
slope-intercept form
A. y = 8x – 28
B. y = – 8x + 28
1/8
C. y = xD. y = – 8x – 28
7/2
x + 5;
Question 17
Determine whether the relation is a function.
{(-2, -9), (3, -5), (6, 6), (8, 1), (11, 2)}
A. Not a function
B. Function
Question 18
For the given functions f and g , find the indicated composition.
A.
B.
C.
D.
34,500
41,800
7300
57,420
Question 19
Perform the indicated operations and write the result in standard form.
A.-38i
B. 38
C. -38
D. 38i
Question 20
Perform the indicated operations and write the result in standard form.
A.
B.
C.
D.
-12i
12i
32i
-12
Question 21
Given functions f and g, determine the domain of f + g.
A. (-
, -10) or (-10, 6) or (6,
B.
,
(-
)
)
C. (-
, -6) or (-6, 10) or (10,
D. (-
, -3) or (-3, -2) or (-2,
)
)
Question 22
Add or subtract as indicated and write the result in standard form.
(8 + 6i) – (-9 + i)
A.
B.
C.
D.
17 – 5i
17 + 5i
-17 – 5i
-1 + 7i
Question 23
Add or subtract as indicated and write the result in standard form.
4i – (-8 – i)
A.
B.
C.
D.
8 – 3i
-8 + 3i
8 + 5i
-8 – 5i
Question 24
Find the domain of the function.
f(x) =
A. (-
, 0)
B. (5,
)
C. (-
, 5)
D. (-
,
(0,
)
(5,
)
)
Question 25
Find the domain of the function.
f(x) =
+
A. (-
, 4)
(4,
B. (-
, 4)
(4, 2)
C. (-
,
D. (-
, 2)
)
(2,
)
)
(2,
)
Question 26
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the
current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in
ohms, by the formula
Solve the problem using this formula.
Find E, the voltage of a circuit, if I = (2 + 5i) amperes and R = (8 + 2i) ohms
A. (44 + 6i) volts
B. (44 – 6i) volts
C. (6 + 44i) volts
D. (6 – 44i) volts
Question 27
Perform the indicated operations and write the result in standard form.
(6 + i)2 – (2 – i)2
A.16
B. 32 + 16i
C. -32 + 16i
D. 32 – 16i
Question 30
Use the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = – 2x – 8 + x2
A.
B.
C.
D.
Question 31
Use the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 4 – (x – 2)2
A.
B.
C.
D.
Question 36
The graph of a quadratic function is given. Determine the function’s equation
A. g(x) = x2 + 2x + 1
B. f(x) = x2 – 2x + 1
C. j(x) = x2 + 1
D. h(x) = x2 – 1
Question 37
Find the x-intercepts (if any) for the graph of the quadratic function.
f(x) = 2×2 – 2x – 4
A.
B.
C.
D.
(-2, 0) and (-1, 0)
(2, 0) and (-1, 0)
(2, 0) and (1, 0)
(-2, 0) and (1, 0)
Question 38
Find the y-intercept for the graph of the quadratic function.
y + 4 = (x – 2)2
A.
B.
C.
D.
(0, -4)
(0, 0)
(0, 4)
(4, 0)
Question 39
Graph the line whose equation is given.
y = -2x – 3
.
A.
B.
C.
D.
Question 40
Graph the line whose equation is given.
A.
B.
C.
D.