AnswersCA-Common Core Math I A-CRTranslations of Exponential Functions

Translations of Exponential Functions — Unit test Answers

0 verified answers1 views
1
Free Preview

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

A
g(x) = (1.6)x + 5 − 9
B
g(x) = (1.6)x + 5 + 9
C
g(x) = (1.6)x − 9 + 5
D
g(x) = (1.6)x + 9 + 5
2
Free Preview

f(x) = g(x) = – 3

Question illustration
A
The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
B
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
C
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
D
The asymptote of g(x) is the asymptote of f(x) shifted three units up.
3

Which is a stretch of an exponential growth function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
4

Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?

A
(2, 12)
B
(2, 18)
C
(2, 7)
D
(3, 7)
5

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

A
(–∞, –7)
B
(–∞, –1)
C
(–∞, 1)
D
(–∞, 7)
6

What is the vertex of the graph of f(x) = |x + 3| + 7?

A
(3, 7)
B
(7, 3)
C
(–3, 7)
D
(7, –3)
7

Which describes the range of the parent absolute value function?

A
{y | y is a real number}
B
{y | y is an integer}
C
{y|y > 0}
D
{y|y < 0}
8

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
9

Which best describes the range of the function f(x) = 2 after it has been reflected over the y-axis?

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
10

Which is the initial value that shrinks an exponential growth function by 50%?

A
One-fifth
Option A
B
One-fourth
Option B
C
One-third
Option C
D
One-half
Option D
11

Which is the graph of f(x) = 2(3)x?

A
Option
B
Option
C
Option
D
Option
12

Which is the graph of g(x) = – 2?

Question illustration
A
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, 2.25)
Option A
B
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, 0.44)
Option B
C
On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)
Option C
D
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0, 3)
Option D
13

What are the domain and range of f(x) = + 2?

Question illustration
A
domain: ; range: {y | y > 0}
Option A
B
domain: ; range: {y | y > 2}
Option B
C
domain: {x | x is a real number}; range: {y | y > 2}
D
domain: {x | x is a real number}; range: {y | y > –2}
14

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

A
The two functions have the same initial value.
B
The two functions will cross each other on the axis.
C
The two functions have reciprocal output values of each other for any given input value.
D
The two functions have opposite output values of each other for any given input value.
15

Which function represents exponential decay?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Translations of Exponential Functions

Quiz
10 verified answers

Translations of Exponential Functions

Quiz
10 verified answers

Translations of Exponential Functions