Free Printable Unit 5 Test A Review

1.

Which situation could be represented by this graph?

a)

Farmer Yumi's rabbits reproduce so that the population increases exponentially

b)

Farmer Yumi sells 5 of her rabbits every week

c)

Farmer Yumi's rabbits fall ill with a disease that decreases the population exponentially

d)

Farmer Yumi's rabbits reproduce until there are 100 rabbits, then they fall ill with a terrible, deadly disease

2.

Which function matches the graph shown?

a)

$f\left(x\right)=4\left(0.6\right)^x$

b)

$f\left(x\right)=4\left(1.6\right)^x$

c)

$f\left(x\right)=4\left(1-0.6\right)^x$

d)

$f\left(x\right)=-0.6x+4$

3.

Which function matches the graph shown?

a)

$f\left(x\right)=4\left(0.6\right)^x$

b)

$f\left(x\right)=4\left(1.6\right)^x$

c)

$f\left(x\right)=4\left(1-0.6\right)^x$

d)

$f\left(x\right)=-0.6x+4$

4.

Do the values from this table represent an exponential function?

a)

yes, because the outputs increase by a constant rate of change of 2

b)

yes, because the outputs increase by a constant rate of change of 4

c)

no, because the rate of change is not constant

d)

we do not have enough information to know

5.

What are the domain and range of $f\left(x\right)=6.5\left(0.85\right)^x$ ?

a)

$x\ is\ all\ real\ numbers\ and\ \ y>0$

b)

$x>0\ and\ y>6.5$

c)

$x>0\ and\ y>0$

d)

$x\ge0.85\ and\ y\ge6.5$

6.

What is the common ratio for this sequence?

28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

7.

What is the explicit rule for this sequence, in function notation?

11, 22, 44, 88...

a)

$f\left(x\right)=11\left(2\right)^{x-1}$

b)

$f\left(x\right)=11\left(2\right)^x$

c)

$f\left(x\right)=2\left(11\right)^{x-1}$

d)

$f\left(x\right)=11x^2$

8.

What is the recursive rule for this sequence, in function notation?
11, 22, 44, 88,...

a)

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

b)

$f\left(x\right)=11\left(2\right)^{x-1}$

c)

$f\left(x+1\right)=11f\left(x\right)$

d)

$f\left(x+1\right)=11f\left(x\right)^2$

9.

Which TWO functions represent the geometric sequence shown in the graph?

a)

$f\left(x+1\right)=2f\left(x\right);\ \ \ \ \ f\left(1\right)=3$

b)

$f\left(x\right)=3\left(2\right)^{x-1}$

c)

$f\left(x\right)=3\left(2\right)^x$

d)

$f\left(x+1\right)=3f\left(x\right);\ \ \ \ f\left(1\right)=3$

10.

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

a)

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

b)

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

c)

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

d)

f(x)=400(0.03)^x

11.

Which function represents the value of this car after x years?

a)

$f\left(x\right)=42000\left(0.85\right)^x$

b)

$f\left(x\right)=35700\left(1-0.15\right)^x$

c)

$f\left(x\right)=42000\left(0.15\right)^x$

d)

$f\left(x\right)=42000\left(1+0.15\right)^x$

12.

Which TWO statements are true about this graph?

a)

The decay rate is 50% because each output is 50% of the previous output.

b)

The decay rate is 5 because the outputs decrease by 5.

c)

The initial value is 10 because that is the y-intercept.

d)

The initial value is 5 because that's where x=1.

13.

The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0g? Use the function $f\left(t\right)=m\left(0.5\right)^{\frac{t}{h}}$ , where m is the initial mass, t is the number of years, and h is the length of the half-life.

a)

3.0g

b)

0.25mg

c)

0.3g

d)

0.25g

Unit 5 Test A Review

Total questions: 13

Worksheet time: 24mins

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