Free Printable GenMath Pretest

1.

Evaluate the function
$f\left(x\right)=x^2-17x+\sqrt{3}$ as x=5.

a)

$f\left(5\right)=60-\sqrt{3}$

b)

$f\left(5\right)=-60+\sqrt{3}$

c)

$f\left(5\right)=110-\sqrt{3}$

d)

$f\left(5\right)=-100+\sqrt{3}$

2.

If $f\left(x\right)=3x^2+4$ and $g\left(x\right)=2x-15$ , find (f+g)(x).

a)

$\left(f+g\right)\left(x\right)=5x^2-13$

b)

$\left(f+g\right)\left(x\right)=3x^2+2x-13$

c)

$\left(f+g\right)\left(x\right)=3x^2+2x+19$

d)

$\left(f+g\right)\left(x\right)=5x^2+19$

3.

What is $\left(g\circ f\right)\left(x\right)$ if $f\left(x\right)=\sqrt{x-7}$ and $g\left(x\right)=x^2+3x-1$ ?

a)

$\left(g\circ f\right)\left(x\right)=x+3\sqrt{x-7}-8$

b)

$\left(g\circ f\right)\left(x\right)=x^2+3x-8$

c)

$\left(g\circ f\right)\left(x\right)=\sqrt{x^2+3x-8}$

d)

$\left(g\circ f\right)\left(x\right)=4x^2-8$

4.

Find f(-4).

a)

18

b)

-18

c)

20

d)

-20

5.

Determine which of the following is not a function.

a)

b)

c)

d)

6.

Which of the following is an example of a rational function?

a)

$f\left(x\right)=x^3+4x-1$

b)

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

c)

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

d)

$f\left(x\right)=\frac{3}{x^3+10}$

7.

Solve $\frac{x+2}{x-3}\le0$

a)

[-2,3)

b)

(-2,3)

c)

[-2,3]

d)

(-2,3]

8.

Find the domain of $f\left(x\right)=\frac{x^3-5x+2}{x-2}$

a)

b)

c)

d)

9.

Find the range of $f\left(x\right)=\frac{\text{x+3}}{\text{4+x}}$

a)

all real numbers

b)

$y\ne1$

c)

$y\ne-4$

d)

$y\ne-4,\ 1$

10.

What are the x-intercepts of $f\left(x\right)=\frac{x^2-2x-8}{3x-2}$ ?

a)

x=2/3

b)

x=-8, x=1

c)

x=4, x=-2

d)

x=-4, x=2

11.

What are the asymptotes?

a)

x=1, x=2, y=1, y=2

b)

x=2, y=-1

c)

x=2, x=-2, y=1

d)

x=1, y=2, y=-2

12.

$f\left(x\right)=\frac{x^2-25}{x^2-x-20}$

What is the domain of the function?

a)

$x\ne-5,\ 5$

b)

$x\ne-4,\ 5$

c)

$x\ne-5,\ 4$

d)

$x\ne-4,\ -5$

13.

Find the inverse of $f\left(x\right)=x^2-5$ .

a)

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

b)

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

c)

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

d)

$f^{-1}\left(x\right)=x^2-5$

14.

The relation in the graph is

a)

a function but not one-to-one function

b)

not a function

c)

a one-to-one function

d)

cannot be determine

15.

The value of a car is Php 1 250 000 and depreciates at a rate of 8% per year. What is the exponential equation that represents the price of a car for the proceeding years?

a)

$y=8\left(1\ 250\ 000\right)^x$

b)

$y=1\ 250\ 000\left(1-0.08\right)^x$

c)

$y=1\ 250\ 000\left(1+0.08\right)^x$

d)

$y=1\ 250\ 000\left(0.08\right)^x$

16.

Which of the following functions shows an initial amount of Php 960 and an increase of 18% each year?

a)

$y=960\left(18\right)^x$

b)

$y=960\left(0.18\right)^x$

c)

$y=960\left(1.18\right)^x$

d)

$y=18\left(960\right)^x$

17.

Logarithmic functions always have

a)

vertical asymptote at x=0

b)

vertical asymptote at x=1

c)

horizontal asymptote at y=0

d)

horizontal asymptote at y=1

18.

Rewrite $3^4=81$ in logarithmic form.

a)

$\log_34=81$

b)

$\log_381=4$

c)

$\log_{81}3=4$

d)

$\log_481=3$

GenMath Pretest

Total questions: 18

Worksheet time: 9mins

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