Free Printable 7.2.1 and 7.2.2

1.

Find an exponential function with an initial value of 2 and the point (3,128)

a)

$y=2+4x$

b)

$y=2\left(4\right)^x$

c)

$y=2x+4$

d)

$y=3\left(128\right)^x$

2.

Find an exponential function with the points (0,4) and (2,1)

a)

$y=4\left(\frac{1}{2}\right)^x$

b)

$y=4\left(2\right)^x$

c)

$y=4\left(1\right)^x$

3.

If $3=a\times b^0$ then what does a=?
and If $75=a\times b^2$ then what does b=?

a)

a=0, b=25

b)

a=1, b=3

c)

a=3, b=25

d)

a=3, b=5

4.

Evaluate

a)

-4

b)

4

c)

21.3

5.

How would you say this in words? There are multiple correct answers.

a)

Square root of 32

b)

What to the 5th power will give me 32?

c)

5th root of 32

d)

2

6.

Select all that apply

a)

Cube root of 8

b)

Cube root of -8

c)

$\left(-8\right)^{\frac{1}{3}}$

d)

-2

7.

Which of the following is equivalent?

a)

$\frac{10000}{4}$

b)

$10000^4$

c)

$10000^{\frac{1}{4}}$

8.

Find the slope of the two points (7,16) and (2,-4)

a)

4

b)

$\frac{9}{20}$

c)

-4

d)

$\frac{3}{2}$

9.

$\frac{1}{2^{-n}}$ How could you write this with a positive exponent?

a)

$\frac{1}{2^n}$

b)

$2^n$

c)

$\left(\frac{1}{2}\right)^n$

10.

Find the domain

a)

All real numbers

b)

x=0, 1, and 2

c)

y= 0, 1, and 2

d)

x=1,0, and -2

11.

Find the range

a)

$-1\le y\le2$

b)

$-1<y<2$

c)

All real numbers

12.

Find the domain and range

a)

x< 2 y> -2

b)

$x\le2\ and\ \ y\ge2$

c)

$x\le2\ and\ y\ge-2$

13.

$f\left(x\right)=3\left(2\right)^{x\ }$ Will this graph ever cross the x axis? Therefore, is there a value you can plug in for x that you will get out 0?

a)

No, this graph will never cross the x axis, there is an asymptote.

b)

Yes, if I plug in 0 for x I will get 0 for y.

c)

Yes, it will cross the x axis at 3.

14.

a)

right space= -16, bottom space= 15.5

b)

right space=-16, bottom space =-15.5

c)

right space= -8.5, bottom space, 16

15.

a)

6, -2

b)

2,6

c)

4,3

d)

2,-6

7.2.1 and 7.2.2

Total questions: 15

Worksheet time: 2hrs 15mins

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