What is the transformation?

Vertical Translation down 2 and Horizontal Translation left 1

Vertical Translation up 2 and Horizontal translation right 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

The function y = 125(1.13) x represents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?

Mr. Gantz earns more money in year one than in year 5

Mr. Gantz initial invested $125

Mr. Gantz's money grows by 13% per year

After 4 years Mr. Gantz will have about $203.81

Given the original exponential function defined by y=4 x , how would the graph change if the function were: y=2(4) x-3 +1?

Vertically stretched by a factor of 2, right 3, and up 1

Vertically compressed by a factor of 1/2, left 3 and down 1

Vertically compressed by a factor of 1/2, right 3, and down 1

Vertically stretched by a factor of 2, left 3, and up 1

f 1 ( x ) = 3. 6 x a n d f 2 ( x ) = 4. 1 x f_1\left(x\right)=3.6^x\ \ and\ \ \ \ f_2\left(x\right)=\ 4.1^x f 1 ( x ) = 3 . 6 x a n d f 2 ( x ) = 4 . 1 x Which function grows faster as x increases towards ∞ \infty ∞

f 2 ( x ) f_2\left(x\right) f 2 ( x )

f 1 ( x ) f_1\left(x\right) f 1 ( x )

If the red graph is f ( x ) = e x f\left(x\right)=e^x f ( x ) = e x then the blue graph is:

f ( x ) = e − x f\left(x\right)=e^{-x} f ( x ) = e − x

f ( x ) = − e x f\left(x\right)=-e^x f ( x ) = − e x

f ( x ) = − e x − 1 f\left(x\right)=-e^x-1 f ( x ) = − e x − 1

f ( x ) = e x − 1 f\left(x\right)=e^x-1 f ( x ) = e x − 1

How has the function f ( x ) = e ( x + 2 ) − 5 f\left(x\right)=e^{\left(x+2\right)}-5 f ( x ) = e ( x + 2 ) − 5 been transformed from the parent function?

2 units to the left and 5 units down

2 units down and 5 units to the left

2 units to the right and 5 units down

2 units up and 5 units to the right

REVIEW for Exponential Functions Test

Authored by Julia Burnside

Mathematics

9th - 12th Grade

CCSS covered

Used 33+ times

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30 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

(.27)^x

.27

3.51

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the following function and example of decay or growth?
f(x)=2(0.85)^x

Exponential Decay

Exponential Growth

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the x-intercept of the exponential function?

(0,1)

(0,0)

There is not one

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

f(x)=400(1+3)^x

f(x)=400(1-0.03)^x

f(x)=400(1+0.03)^x

f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

5.4 mg

68.6 mg

.0054 mg

2,400,000 mg

Tags

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

Exponential growth

Exponential decay

Linear

None of the above

Tags

CCSS.HSF.LE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the asymptote of the parent function y=2^x?

x=0

y=0

x=2

y=2

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the range of this graph?

y = 6

$\left(-\infty,\infty\right)$

y > -6

y < -6

Tags

CCSS.HSF-IF.C.7E

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REVIEW for Exponential Functions Test

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

Is the following function and example of decay or growth?
f(x)=2(0.85)^x

What is the x-intercept of the exponential function?

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

What is the asymptote of the parent function y=2^x?

Which represents exponential decay?

What is the range of this graph?

What kind of shift happens with this function?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

REVIEW for Exponential Functions Test

Identify the y-intercept (initial value) in the function f(x)=13(.27)x

Is the following function and example of decay or growth?f(x)=2(0.85)x

What is the x-intercept of the exponential function?

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

Is the following function exponential growth, exponential decay, linear, or none of the above.g(x) = 740(.001)3x

What is the asymptote of the parent function y=2x?

Which represents exponential decay?

What is the range of this graph?

What kind of shift happens with this function?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

Is the following function and example of decay or growth?
f(x)=2(0.85)^x

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

What is the asymptote of the parent function y=2^x?