Relations and Functions — Cumulative exam Answers

50 verified answers2 views
1
Free Preview

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
2
Free Preview

Which expression is equivalent to ?

Question illustration
A
5 StartRoot 3 EndRoot i
Option A
B
6 StartRoot 3 EndRoot i
Option B
C
7 StartRoot 3 EndRoot i
Option C
D
8 StartRoot 3 EndRoot i
Option D
4

Which of the following graphs represents a function?

A
On a coordinate plane, a graph shows an image of a curved line connected to a straight line. The curved line is upward facing and goes through the y-axis at (0, 0.75). The curved line connects with the straight line at (1, 0.75). The straight line has a negative slope and goes through the x-axis at (2, 0).
Option A
B
On a coordinate plane, a circle intercepts the x-axis at points (negative 2, 0) and (2, 0) and intercepts the y-axis between points 3 and 4 and also between points negative 3 and negative 4.
Option B
C
On a coordinate plane, a parabola opens right and has a vertex at (negative 3, 3).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, 3), (negative 2, negative 5), (negative 1, negative 3), (1, 3), (2, negative 2), (4, negative 2), (4, 2).
Option D
5

Which expression is equivalent to 2x2 – 2x + 7?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
6

What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
7

Subtract from .

Question illustration
A
mc011-3.jpg
Option A
B
mc011-4.jpg
Option B
C
mc011-5.jpg
Option C
D
mc011-6.jpg
Option D
8

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A
A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
Option A
B
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
Option B
C
On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).
Option C
D
On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).
Option D
10

What is the missing polynomial? – (20 – 4x – 5x2) = 20 – 7x2

Question illustration
A
mc024-2.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-4.jpg
Option C
D
mc024-5.jpg
Option D
11

The graphs of y = 4x and y = 4x are shown below. In general, how does the growth of y = 4x compare to the growth of y = 4x?

Question illustration
A
The function y = 4x is growing slower than y = 4x.
B
The function y = 4x is growing faster than y = 4x.
C
The functions y = 4x and y = 4x are growing at the same rate.
D
The function y = 4x is growing faster than y = 4x.
13

Which expression is equivalent to ?

Question illustration
A
Negative 4 StartRoot 5 EndRoot
Option A
B
Negative 4 StartRoot 5 EndRoot i
Option B
C
4 StartRoot 5 EndRoot i
Option C
D
4 StartRoot 5 EndRoot
Option D
14

Which of the following graphs represents a one-to-one function?

A
On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).
Option A
B
On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).
Option B
C
On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).
Option D
17

What is the range of the function graphed below?

Question illustration
A
1 less-than-or-equal-to y less-than 4
Option A
B
Negative 3 less-than y less-than-or-equal-to 3
Option B
C
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
Option C
D
Negative 3 less-than-or-equal-to y less-than 4
Option D
18

What is the sum of the polynomials?

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D

Did you find these answers helpful?

Relations and Functions — Cumulative exam…