AnswersCommon Core Algebra I B-ICReflections of Exponential Functions

Reflections of Exponential Functions — Unit test Answers

15 verified answers
1
Free Preview

Which is a stretch of an exponential growth function?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) =
Option f
2
Free Preview

Which is a shrink of an exponential growth function?

Question illustration
f
f(x) = (3)x
Option f
f
f(x) = 3(3)x
f
f(x) =
Option f
f
f(x) =
Option f
3

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}
4

best

Question illustration
a
all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
5

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)?

T
The two functions have the same initial value.
T
The two functions will cross each other on the axis.
T
The two functions have reciprocal output values of each other for any given input value.
T
The two functions have opposite output values of each other for any given input value.
6

Over which interval are the exponential and linear function approximately the same?

Question illustration
A
from 0.25 to 0.5
B
from 0.5 to 0.75
C
from 0.75 to 1.0
D
from 1.25 to 1.5
7

f(x) = g(x) = – 3

Question illustration
T
The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
T
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
T
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
T
The asymptote of g(x) is the asymptote of f(x) shifted three units up.
8

The function f(x) = 8 is reflected across the y-axis to create g(x). Which table of values could be used to graph g(x)?

Question illustration
A
A 3-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 entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 8, 32, 128.
Option A
B
A 3-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 entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 0, 32, 128.
Option B
C
A 3-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 entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, negative 8, negative 2, negative one-half.
Option C
D
A 3-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 entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, 0, negative 2, negative one-half.
Option D
9

Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
10

Which is the graph of g(x) = – 2?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

Question illustration
A
Four-fifths
Option A
B
Five-fourths
Option B
C
Three-halves
Option C
D
Seven-fourths
Option D
12

The graph of f(x) = (2.5)x and its reflection across the x-axis, g(x), are shown.

Question illustration
a
all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
13

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

g
g(x) = (1.6)x + 5 − 9
g
g(x) = (1.6)x + 5 + 9
g
g(x) = (1.6)x − 9 + 5
g
g(x) = (1.6)x + 9 + 5
14

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
15

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.

Did you find these answers helpful?

More from this Course

Quiz
14 verified answers

Unit Test

Quiz
10 verified answers

Reflections of Exponential Functions

Quiz
10 verified answers

Reflections of Exponential Functions