Free Printable Gen. Math 11_Q1

1.

Determine the inverse of

f\left(x\right)=\frac{7}{x^2+\ 2}

a)

$f^{-1}\left(x\right)=\ \sqrt{\frac{7}{x}}+2$

b)

$f^{-1}\left(x\right)=\ \sqrt{\frac{7}{x}+2}$

c)

$f^{-1}\left(x\right)=\sqrt{\frac{7}{x}}-2$

d)

$f^{-1}\left(x\right)=\sqrt{\frac{7}{x}-2}$

2.

A function that is increasing over its domain or is decreasing over its domain is a (a) function.

3.

Find the inverse of

f\left(x\right)=\frac{5-3x}{3-5x}

a)

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

b)

$f^{-1}\left(x\right)=\frac{5-3x}{3-5x}$

c)

$f^{-1}\left(x\right)=\ \frac{5x-3}{3x-5}$

d)

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

4.

Which of the functions represent exponential exponential growth ?

a)

$f\left(x\right)\ =7\left(\frac{1}{3}\right)^x$

b)

$f\left(x\right)=5\left(0.25\right)^{-x}$

c)

$f\left(x\right)=3\left(\frac{4}{3}\right)^x$

d)

$f\left(x\right)=\ 2\left(6\right)^{-x}$

5.

Equations that involve terms of the forms $b^x$ , b > 0, and $b\ \ne1$ are often referred to as (a) .

6.

The y - intercept of $y\ =\ b^{x-c}$ is __________________.

a)

$\left(\frac{1}{b}\right)^c$

b)

1

c)

x - c

d)

0

7.

The y - intercept of $y\ =b^x\ -\ d\$ is ______________.

a)

0

b)

1

c)

- d

d)

1 - d

8.

Distinguish $4\left(7x\right)=16$ .

a)

Exponential Function

b)

Exponential Equation

c)

Exponential Inequality

d)

None of these

9.

Determine $5\ <\ 25^{x-3}$ .

a)

Exponential Function

b)

Exponential Equation

c)

Exponential Inequality

d)

None of these

10.

$49\ =\ 7^{x-1}$ belong to ____________________.

a)

Exponential Function

b)

Exponential Equation

c)

Exponential Inequality

d)

None of these

11.

Determine $y\ =\ \left(\left(\frac{1}{3}\right)^0\right)^{2x}$ .

a)

Exponential Function

b)

Exponential Equation

c)

Exponential Inequality

d)

None of these

12.

Distinguish $0.25^{-x}=\ y$ .

a)

Exponential Function

b)

Exponential Equation

c)

Exponential Inequality

d)

None of these

13.

The weight w (in pounds) that can be supported by a shelf made from half-inch plywood can be modeled by $w=\ \left(\frac{82.9}{d}\right)^3$

Where d is the distance (in inches) between the supports for the shelf. Find the distance between the supports of a shelf that can hold a set of encyclopedia weighing 66 pounds. .

a)

18.22 inches

b)

20. 51 inches

c)

22.12 inches

d)

24 inches

14.

Solve for x : $\frac{1}{\left(125\right)^{x-2}}\ =\ 25^{1-x}$

a)

2

b)

3

c)

4

d)

5

15.

Solve for x : $2^x\ -\ 32\left(2^{-x}\right)\ \ =\ 4$

a)

3

b)

4

c)

5

d)

6

Gen. Math 11_Q1_Week 5 Quiz

Total questions: 15

Worksheet time: 12mins

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