Free Printable Quiz #2 (Exp. Func., Transf., Comp. Int)

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Quiz #2 (Exp. Func., Transf., Comp. Int)

Total questions: 25

Worksheet time: 1hrs 14mins

Name

Class

Date

What type of function is f(x)=2(1/7)^x ?

Exponential Growth

Linear

Exponential Decay

None of the Abovee

Is the pictured graph growth, decay, or linear or none?

Growth

Decay

Linear

None

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

Exponential Growth

Exponential Decay

What is the domain and range of the function y=2^x?

Use the graph to help!

Domain: −∞<x<∞

Range: y>0

Domain: −∞<x<∞

Range: y>1

Domain: −2<x<∞

Range: y>0

Domain: −∞<x<∞

Range: y>1

Which of the following is an increasing exponential function whose y-intercept is 50?

y = 50(.05)^x

y = 50x - 4

y = (2)^x + 50

y = 50(1.4)^x

For $f\left(x\right)=4\cdot3^x$ , find the correct graph, asymptote, domain and range.

The special number, natural base "e", is a ________________ number.

rational

irrational

real

Does the function $y=4e^{-0.75x}$ represent exponential growth or decay?

exponential growth because r>0

exponential growth because r<0

exponential decay because r>0

exponential decay because r<0

Which of the following graphs matches the function $y=4e^{-0.5x}$ ?

10.

How has the function $7\left(3\right)^x-5$ been transformed from the parent function $7\left(3\right)^x$ ?

Shifted up 5

Shifted down 5

Reflection over the x-axis

Reflection over the y-axis

11.

How has the function $-5\left(3\right)^x$ been transformed from the parent function $5\left(3\right)^x$ ?

Shifted up 5

Shifted down 5

Reflection over the x-axis

Reflection over the y-axis

12.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

Vertical Stretch

Vertical Compression

Translation up 5 units

Reflection across the x-axis

13.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=0.2\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

Vertical Stretch

Vertical Compression

Translation up 5 units

Reflection across the x-axis

14.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

It stayed the same

reflects, up 3, left 6

reflects, right 3, down 6

reflects, left 3, down 6

15.

What is the end behavior of the function

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

x →∞, y→∞ and x→⁻∞, y→∞

x →∞, y→∞ and x→⁻∞, y→2

x →∞,y→2 and x→⁻∞, y→∞

16.

What equation would yield a transformation right 3 units if your initial function was y=2^x

y=2^x-3

y=2^x+3

y=2^x+³

y=2^x-³

17.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

18.

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

$8,881.47

$7,432.93

$8,400

$6,500

19.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

14327

4309

839

7680

20.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

$23,219.72

$136.72

$51,710.94

$16,710.94

21.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

$176,783.29

$424,527.63

$57,357.75

$532,041,076.80

22.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

$1,584.62

$2,651.39

$2,706.86

$1,825.10

23.

Treasure won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

$4915.59

$3933.28

$2979.81

$4005.09

24.

Chelsea put $7500 into an account paying 5% compounded continuously. She now has $10,643.01. How long has the money been in the account? (Hint: solve by trial and error)

7 years

6 years

5 years

4 years

25.

Cora invested $400 at a rate of 35% for 12 years, compounded continuously. How much is her investment worth after 12 years?

$25,520.07

$31,265.81

$22,608.78

$26,674.53

100 %

Quiz #2 (Exp. Func., Transf., Comp. Int)

Total questions: 25

Worksheet time: 1hrs 14mins

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