Test 2 Review - MATH 1314
Find the y- and x-intercepts for the equation. Then graph
the equation.
17) -5x - 10y = 20
Solve. Be sure to check for extraneous solutions.
1) q + 4 = 4
2) x - 9 =
4x + 9
3)
x+8+4=x
4)
3x + 1 = 3 +
5)
2x + 3 -
x-4
x+1=1
These equations are quadratic in form. Solve by making
an appropriate substitution.
6) (2m - 6)2 + 4(2m - 6) - 5 = 0
Graph using the slope and y-intercept.
18) 2y - 14x = -6
7) 7y-2 - 5y-1 - 2 = 0
8) (t - 4)2/3 - 2(t - 4)1/3 - 15 = 0
9) x4 - 7x 2 + 12
Solve by multiplying both sides by the LCD (Least
Common Denominator).
18
20
=1+
10)
x-4
x+4
11)
6
8
12
=
y + 5 y - 5 y2 - 25
12)
30
30
3
=
x
x-6 x
Graph.
19) y = -3
Determine the slope and the y-intercept.
13) y = 8x + 1
14) 2x - 4y = -12
Find the slope of the line containing the two given points.
15) (5, 3) and (9, 2)
16) (-9, 5) and (-6, 5)
1
20) x = -3
Determine whether or not the relation is a function.
30)
Tell whether the lines are "parallel", "perpendicular", or
"neither."
21) 3x - 2y = 6
2x + 3y = 6
31)
22) 6x + 2y = 8
27x + 9y = 39
23) 3x - 12y = 8
64x + 12y = 8
Is the following correspondence a function?
24)
For the function represented in the graph, determine the
domain.
32) Find the domain.
Determine the domain and range of the relation.
25) {(-1,-4), (-1,6), (-8,7), (8,-5), (6,2)}
Determine whether the relation is a function.
26) {(-3, -4), (3, 2), (4, -9), (9, 9), (11, -4)}
27) {(-5, 5), (-1, -7), (3, -5), (3, -9)}
Determine whether the equation defines a function.
28) y = 8x2 + 9x + 3
29) y2 = (x - 1)(x + 9)
2
The graph of a function f is provided. Determine the
requested function value.
39) f(-2)
33) Find the domain.
For the function represented in the graph, determine the
range.
34) Find the range.
A function of x is depicted in the graph. Find any input
values that produce the indicated output.
40) f(x) = -2
35) Find the range.
State the domain of the given function.
-3
41) f(x) =
x+5
42) f(x) =
x+9
43) f(x) = 4x2 + 4x - 2
Find the function value.
36) Find f(-4) when f(x) = 3x2 - 4x + 2.
37) Find f(0) when f(x) = x2 + 5x - 6.
Evaluate.
38) Find f(k - 1) when f(x) = 4x2 + 3x - 6.
3
Solve the problem.
44) Select the equation that describes the graph
shown.
Write an equation that results in the indicated translation.
47) The absolute value function, shifted 7 units to
the left
48) The graph of y = x is shifted 4 units to the
left. Then the graph is shifted 7 units upward.
49) The squaring function, stretched by a factor of
9 and reflected across the x-axis
Fill in each blank with the appropriate response.
50) The graph of y = -5(x - 4)2 + 7 can be obtained
from the graph of y = x2 by shifting
A) y = (x - 3)2 + 3
C) y = (x - 3)2
horizontally ___ units to the ______ , vertically
stretching by a factor of ___ , reflecting across
the __-axis, and shifting vertically ___ units in
the _______ direction.
B) y = x2 - 3
D) y = (x + 3)2
45) Select the equation that describes the graph
shown.
Find the requested value.
51)
f(-3) for f(x) =
7x, if x
-1
x - 2, if x > -1
The figure below shows the graph of a function y = f(x).
Use this graph to solve the problem.
52) Sketch the graph of y = f(x - 3).
A) y = x + 5
C) y = x - 5
B) y = x - 5 + 2
D) y = x - 5
46) Select the equation that describes the graph
shown.
A) y =
C) y =
x+4
x+3
B) y =
D) y =
x-4
x-4+3
4
State the intervals over which the function graphed below
is increasing, decreasing, and constant.
53) y = f(x)
56) f(x) = -
57) f(x) =
54) y = x + 3 + 6
-x + 1
1
(x + 3)3
2
58) y = x - 4 - 5
Provide an appropriate response.
55) The graph of f(x) is given below. What are the
x-intercepts of f(x + 2)?
5
Solve the problem.
59) Select the equation that describes the graph
shown.
A) y =
C) y =
3
3
x+3+1
x-3
B) y =
D) y =
3
3
x+3
x+3
60) Given y1 = f(x), select the equation that
describes y = y2 on the graph shown.
A) y = f(x) - 1
C) y = f(x + 1)
B) y = f(x) + 1
D) y = f(x - 1)
6