Free Printable Unit 9 Review!

1.

Determine whether each of the following functions is Linear, Exponential, or quadratic.

{(-2, 1), (-1, 3), (0, 9), (1, 27)}

a)

Linear

b)

Exponential

c)

Quadratic

2.

Determine whether each of the following functions is Linear, Exponential, or quadratic.

{(-2, -5), (-1, -4), (0, -1), (1, 4), (2, 11)}

a)

Linear

b)

Exponential

c)

Quadratic

3.

Determine whether each of the following functions is Linear, Exponential, or quadratic.

{(-2, 4), (-1, 9), (0, 14), (1, 19), (2, 24)}

a)

Linear

b)

Exponential

c)

Quadratic

4.

Determine whether each of the following functions is Linear, Exponential, or quadratic.

a)

Linear

b)

Exponential

c)

Quadratic

d)

None

5.

Determine whether each of the following functions is Linear, Exponential, or quadratic.

a)

Linear

b)

Exponential

c)

Quadratic

6.

Determine whether each of the following functions is Linear, Exponential, or quadratic.

a)

Linear

b)

Exponential

c)

Quadratic

7.

Ben has $250 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account balance by $55 a year. Under plan B, he will increase his account balance by 12% each year. How much more will he save with plan B after 15 years?

a)

$293

b)

$385

c)

$286

d)

$327

8.

Write a function that models the data in the table. Then use the function to predict how long the humidifier will produce steam with 10 quarts of water.

a)

$h=3.5\left(1.5\right)^x;\ 201.8\ h$

b)

$h=1.5x+3.5;\ 18.5\ h$

c)

$h=3.5+\left(1.5\right)^x;\ 61.2\ h$

d)

$h=1.5x-1;\ 14\ h$

9.

Two insect colonies start out with the same populations but have different growth rates. Compare the colonies by finding and interpreting the average rates of change from week 10 to week 15

a)

Colony A increased by 1029 per week while Colony B increased by 475 per week

b)

Colony A increased by 20,615 per week while Colony B increased by 10,091 per week

c)

Colony B increased at a much faster rate, but we cannot determine the exact values

d)

Colony B increased by 5,146 per week while Colony B increased by 2,375 per week

10.

Which function has a range of $f\left(x\right)\le5$ ?

a)

$f\left(x\right)=-3x+5$

b)

$f\left(x\right)=-\left(x-1\right)^2+5$

c)

$f\left(x\right)=-1\left(3\right)^x+5$

d)

$f\left(x\right)=-2x+5$

11.

Determine the difference between the y-intercepts of f(x) and g(x).

a)

The y-intercept of f(x) is 4 greater than the y-intercept of g(x)

b)

The y-intercept of f(x) is 2 greater than the y-intercept of g(x).

c)

The y-intercept of g(x) is 4 greater than the y-intercept of f(x).

d)

The y-intercept of g(x) is 2 greater than the y-intercept of f(x).

12.

1. A scientist began a study with a sample of 3,760 bacteria. He noticed that the number of bacteria in the sample after t days can be modeled by the equation $f\left(t\right)=3,760\left(5\right)^t$ . In this equation, what does $5^t$ represent?

a)

The number of bacteria increases by 5 bacteria each day

b)

The number of bacteria increases by t bacteria after 5 days

c)

The number of bacteria increases by a factor of 5 each day

d)

The number of bacteria increases by a factor of t each day for 5 days

13.

Looking at the graph, for which x-values is f(x)>g(x)?

a)

$-\infty<x<3\ and\ 5<x<\infty$

b)

$-\infty<x<2\ and\ 4<x<\infty$

c)

$3<x<5$

d)

$2<x<4$

14.

Which function describes the sequence 1, 3, 9, 27, … ?

a)

$f\left(n\right)=3n+1$

b)

$f\left(n\right)=1\left(3\right)^{\left(n-1\right)}$

c)

$f\left(n\right)=3^n+1$

d)

$f\left(n\right)=3\left(n-1\right)^2+1$

Unit 9 Review!

Total questions: 14

Worksheet time: 4hrs 30mins

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