AnswersCommon Core Algebra I B-ICVertical Stretches and Shrinks of Exponential Functions

Reflections of Exponential Functions Answers

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On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 1.5), (0, 3), (1, 6).

Question illustration
A
f(x) = 2(3x)
B
f(x) = 3(3x)
C
f(x) = 3(2x)
D
f(x) = 2(2x)
2
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Which graph represents a function with an initial value of ?

Question illustration
A
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.08), (0, 0.4), (1, 2).
Option A
B
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).
Option B
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.4), (0, 0.2), (1, 1).
Option C
D
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.12), (0, 0.6), (1, 3).
Option D
3

Consider the exponential function f(x) = (15x). What is the value of the growth factor of the function?

Question illustration
A
One-fifth
Option A
B
One-third
Option B
C
5
D
15
4

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 3).

Question illustration
A
−4
B
−3
C
3
D
4
5

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 1).

Question illustration
A
f(x) = 2(6)x
B
f(x) = (6)x
Option B
C
f(x) = 2
Option C
D
f(x) =
Option D
6

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 16, 8, 4, 2, 1.

Question illustration
A
f(x) = (4)x
Option A
B
f(x) = 4(4)x
C
f(x) = 4
Option C
D
f(x) =
Option D
7

Which graph represents a function with a growth factor of 5?

A
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.25), (1, 0.5).
Option A
B
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.5), (1, 2).
Option B
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.04), (0, 0.2), (1, 1).
Option C
D
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.06), (0, 0.6), (1, 6).
Option D
8

Which statements are true for this function and graph? Select three options.

A
The initial value of the function is .
Option A
B
The base of the function is .
Option B
C
The function shows exponential decay.
D
The function is a stretch of the function f(x) = .
Option D
E
The function is a shrink of the function f(x) = 3x.
9

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 12.5, 2.5, 0.5, 0.1, 0.02.

Question illustration
A
f(x) = 0.2(0.5x)
B
f(x) = 0.5(5x)
C
f(x) = 0.5(0.2x)
D
f(x) = 0.2(0.2x)
10

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases from quadrant 2 into quadrant 1. It crosses the y-axis at (0, 1).

Question illustration
A
f(x) = 2(3)x
B
f(x) = (3)x
Option B
C
f(x) = 2
Option C
D
f(x) =
Option D

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