AnswersCA-Mathematics IExponential Decay Functions

Vertical Stretches and Shrinks of Exponential Functions Answers

0 verified answers2 views
1
Free Preview

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
2
Free Preview

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)
3

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f (x) with entries 18, 6, 2, two-thirds.

Question illustration
A
One-third
Option A
B
Two-thirds
Option B
C
2
D
6
4

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
5

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
6

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
7

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 0.2, 0.4, 0.8, 1.6, 3.2.

Question illustration
A
f(x) = 2(2x)
B
f(x) = 0.8(0.8x)
C
f(x) = 2(0.8x)
D
f(x) = 0.8(2x)
8

Which value of a in the exponential function below would cause the function to stretch?

Question illustration
A
0.3
B
0.9
C
1.0
D
1.5
9

A 2-column table has 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f (x) with entries 0.004, 0.02, 0.1, 0.5.

Question illustration
A
0.2
B
0.1
C
5
D
20
10

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
11

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
12

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.
13

Which exponential function has an initial value of 2?

A
f(x) = 2(3x)
B
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, 0.5) and goes through (2, 2).
Option B
C
f(x) = 3(2x)
D
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 one-eighth, one-fourth, one-half, 1, 2.
Option D

Did you find these answers helpful?

More from this Course

Quiz
28 verified answers

Exponential Decay Functions

Quiz
15 verified answers

Exponential Functions with Radical Bases

Quiz
14 verified answers

Exponential Decay Functions