Free Printable Exponential Function

1.

Which of the following is an exponential function?

a)

$x^{2x}>y$

b)

$x^{x+1}=y$

c)

$x=5^2$

d)

$y=\left(\frac{1}{a}\right)^{2x}$

2.

Which of the following is an exponential equation?

a)

$x=25$

b)

$2^x>2^{1-x}$

c)

$y=6^{2x}$

d)

$3^{x+2}>3^{1-x}$

3.

Which of the following is an exponential inequality?

a)

$e^{2x}>5$

b)

$x^{x+1}=y$

c)

$x=5^2$

d)

$y=\left(\frac{1}{a}\right)^{2x}$

4.

Which of the following is an exponential function?

a)

$x+1=10$

b)

$y=9^{x+1}$

c)

$x=6^{2x}$

d)

$x>6$

5.

Which of the following is an exponential equation?

a)

$e^{2x}>y$

b)

$5^{x+1}\ =\ 1$

c)

$x<5^2$

d)

$y=\left(\frac{1}{a}\right)^{2x}$

6.

Which of the following is an exponential inequality?

a)

$2^x>2^{1-x}$

b)

$y\ =\ 4^{x+2}$

c)

$\frac{1}{9}=3^x$

d)

$e^x=50$

7.

Solve $3^{x-5}=81$ .

a)

$x=8$

b)

$x=9$

c)

$x=-9$

d)

$x=14$

8.

Solve $2^x\ge32$ .

a)

$x\le5$

b)

$x\ge-5$

c)

$x\le-5$

d)

$x\ge5$

9.

Solve $10^{x-1}=\frac{1}{10^x}$ .

a)

$x=\frac{1}{2}$

b)

$x=\frac{-1}{2}$

c)

$x=-2$

d)

$x=2$

10.

Solve $6^{-2x}<6^{2-3x}$ .

a)

$x<-2$

b)

$x>-2$

c)

$x<2$

d)

$x>2$

11.

Solve $5^{x+1}=\sqrt[3]{125}$ .

a)

$x=0$

b)

$x=2$

c)

$x=-1$

d)

$x=1$

12.

Solve $4^{2x}=\frac{1}{256}$ .

a)

$x=1$

b)

$x=2$

c)

$x=-1$

d)

$x=-2$

13.

Solve $8^{1-x}<8^5$ .

a)

$x>-2$

b)

$x>-4$

c)

$x>4$

d)

$x>2$

14.

Solve $9^{x^2+4x}<\frac{1}{81}$ .

a)

$x=1$

b)

$x=2$

c)

$x=-2$

d)

$x=1$

15.

Fimd the domain and range of the function $f\left(x\right)=10^{2x}$

a)

D: $R$ and R: $\left(0,\infty\right)$

b)

D: $R$ and R: $\left(2,\infty\right)$

c)

D: $R$ and R: $\left(-\infty,\infty\right)$

d)

D: $R$ and R: $\left(-3,0\right)$

e)

D

16.

Which of the following is the domain and range of $f\left(x\right)=\left(\frac{1}{2}\right)^{3x}$ ?

a)

D: $R-\left\{3\right\}$ and R: $\left(3,\infty\right)$

b)

D: $\left(-\infty,\infty\right)$ and R: $\left(0,\infty\right)$

c)

D: $R$ and R: $\left(\frac{1}{2},\infty\right)$

d)

D: $R-\left\{0\right\}$ and R: $\left(1,\infty\right)$

17.

Which of the following is the domain and range of $f\left(x\right)=27^{1-2x}+1$ ?

a)

D: $R$ and R: $\left(0,\infty\right)$

b)

D: $R$ and R: $\left(2,\infty\right)$

c)

D: $R$ and R: $\left(1,\infty\right)$

d)

D: $R$ and R: $\left(-3,0\right)$

18.

Which of the following is the range of $f\left(x\right)=4^{-x}$ .

a)

All real numbers

b)

All real numbers except 1

c)

All real numbers except 0

d)

All positive real numbers.

19.

Which of the following is the domain of $f\left(x\right)=100^{-20x}$ ?

a)

D: $\left\{x\in R:\ x\ne0\right\}$

b)

D: $\left\{x\in R:\ -\infty,\infty\right\}$

c)

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

d)

D: $\left(\left[-\infty,0\right]\cap\left[3,\infty\right]\right)$

20.

Which of the following is the table of values of $f\left(x\right)=-10^x$ ?

a)

b)

21.

Which of the following is the table of values of $f\left(x\right)=4^x-2$ ?

a)

b)

22.

Which of the following is the graph of $f\left(x\right)=e^{x-1}$ ?

a)

b)

23.

Which of the following is the graph of $f\left(x\right)=e^{x-1}$ ?

a)

b)

24.

Which of the following is the equation of $f\left(x\right)=7^{x-1}+3$ ?

a)

$y=7^{x-1}-3$

b)

$y=7^{x-1}+3$

c)

$y=7^{x+1}-3$

d)

$y=7^{x-1}+3$

25.

If the initaial amount deposited is Php 5,000 that earns 5% interest compounded quarterly, how much will be the amount after 10 years?

$A=P\left(1+\frac{r}{n}\right)^{nt}$

a)

PHP 8,218

b)

PHP 8,144

c)

PHP 8,415

d)

PHP 8,516

26.

A bacterial population doubles every hour. Given that the population starts at 150, what will be the total number of the bacteria after 10 hours?

a)

153,600

b)

15,000

c)

15,600

d)

225,000

27.

A badminton tournament starts with 64 players. After evry round, half of the number of players becomes eliminated. Determine the number of players left after 3 rounds.

a)

2 players

b)

4 players

c)

16 players

d)

8 players

28.

Which of the following is an exponential equation?

a)

$x+1=10$

b)

$9^{x+1}=y$

c)

$27=3^x$

d)

$x>6$

Exponential Function

Total questions: 28

Worksheet time: 2hrs 49mins

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