Free Printable Ch. 7 Exponential Functions Quiz

1.

The graph of $f\left(x\right)=b^x$ , where b > 1, is translated such that the equation of the new graph is expressed as $y-2=f\left(x-1\right)$ . The range of the new function is

a)

$y>2$

b)

$y>3$

c)

$y>-1$

d)

$y>-2$

2.

The graph of $y=a^x$ and the graph of $y=\left(\frac{1}{a}\right)^x$ , where a > 0, are reflections of each other about the

a)

x-axis

b)

y-axis

c)

line y = x

d)

line y = -x

3.

The y-intercept on the graph of $f\left(x\right)=a^{\left(x+1\right)}+b$ is

a)

a

b)

b

c)

1+b

d)

a+b

4.

The number of bacteria, n, present in a culture doubles every 5 days. Which equation could be used to determine the number of bacteria present after t days if there are initially 750 bacteria?

a)

$n=750\left(2\right)^{\frac{t}{5}}$

b)

$n=750\left(5\right)^{\frac{t}{2}}$

c)

$n=750\left(2\right)^{5t}$

d)

$n=750\left(5\right)^{2t}$

5.

A culture starts with 3000 bacteria and after 3 h, it reaches 48 000 bacteria. For the culture, the doubling time, to the nearest minute, is

a)

19 min

b)

28 min

c)

45 min

d)

80 min

6.

The solution of $500=2.5\left(7.04\right)^{\frac{x}{3}}$ , to the nearest hundredth, is (a) .

7.

The exact solution to the equation $8^{\left(3x+4\right)}=4^{\left(x-9\right)}$ can be expressed in simplified form as $x=-\frac{a}{b}$ .

The value of a is ____
The value of b is ____

(a)

8.

The population of a particular town was 20 000. If the population decreases at an average annual rate of 1.4%, the number of entire years it takes for the population to reach 15 333 is (a) .

9.

The estimated value of a particular painting is given by the equation $V=V_o\left(2.5\right)^{\frac{t}{5}}$ , where $V_o$ is the original price, $t$ is the number of years from the original purchase date, and $V$ is the value after $t$ years.

The number of years, to the nearest tenth, that it will take for the painting to increase to 10 times its original value is (a) years.

10.

The graph of $f\left(x\right)=b^x,\ b>0$ is transformed to $y=-3f\left(x+5\right)-6$ . The range of the transformed graph is

a)

$\left(-5,\ \infty\right)$

b)

$\left(-\infty,\ 5\right)$

c)

$\left(-6,\ \infty\right)$

d)

$\left(-\infty,\ -6\right)$

Ch. 7 Exponential Functions Quiz

Total questions: 10

Worksheet time: 3hrs 30mins

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