Free Printable HW: Basic Functions Part 2

1.

A function is increasing when it is:

(TWO answers)

a)

Rising from left to right

b)

Falling from left to right

c)

Rising from right to left

d)

Falling from right to left

2.

A function is decreasing when it is:

(TWO answers)

a)

Rising from left to right

b)

Falling from left to right

c)

Rising from right to left

d)

Falling from right to left

3.

A function with y-axis symmetry is also called an:

a)

even function

b)

odd function

c)

weird function

d)

asymmetric function

4.

A function with origin symmetry is also called an:

a)

even function

b)

odd function

c)

weird function

d)

asymmetric function

5.

This function is INCREASING on what interval(s):

a)

$\left(-1,1\right)$

b)

$\left(-\infty,-1\right)$ and $\left(1,\infty\right)$

c)

ONLY $\left(-\infty,-1\right)$

d)

ONLY $\left(1,\infty\right)$

6.

This function is DECREASING on what interval(s):

a)

$\left(-1,1\right)$

b)

$\left(-\infty,-1\right)$ and $\left(1,\infty\right)$

c)

ONLY $\left(-\infty,-1\right)$

d)

ONLY $\left(1,\infty\right)$

7.

This function is DECREASING on what interval(s):

a)

$\left(a,b\right)$ and $\left(c,\infty\right)$

b)

$\left(-\infty,a\right)$ and $\left(b,c\right)$

c)

ONLY $\left(-\infty,a\right)$

d)

ONLY $\left(c,\infty\right)$

8.

This function is INCREASING on what interval(s):

a)

$\left(a,b\right)$ and $\left(c,\infty\right)$

b)

$\left(-\infty,a\right)$ and $\left(b,c\right)$

c)

ONLY $\left(-\infty,a\right)$

d)

ONLY $\left(c,\infty\right)$

9.

This function is INCREASING on what interval(s):

a)

$\left(a,b\right)$

b)

$\left(-\infty,a\right)$ and $\left(b,\infty\right)$

c)

ONLY $\left(-\infty,a\right)$

d)

ONLY $\left(b,\infty\right)$

10.

This function is DECREASING on what interval(s):

a)

$\left(a,b\right)$

b)

$\left(-\infty,a\right)$ and $\left(b,\infty\right)$

c)

ONLY $\left(-\infty,a\right)$

d)

ONLY $\left(b,\infty\right)$

11.

This function is DECREASING on what interval:

a)

$\left(-\infty,1\right)$

b)

$\left(1,\infty\right)$

12.

This function is INCREASING on what interval:

a)

$\left(-\infty,1\right)$

b)

$\left(1,\infty\right)$

13.

If you replace the x value in an equation with a (-x) and the RESULT is the exact same function, that means the function:

TWO ANSWERS

a)

has y-axis symmetry

b)

has origin symmetry

c)

is even

d)

is odd

14.

If you replace the x value in an equation with a (-x) and the RESULT is the opposite of the original function, that means the function:

TWO ANSWERS

a)

has y-axis symmetry

b)

has origin symmetry

c)

is even

d)

is odd

15.

Identify the vertical asymptote(s) of this function:
$f\left(x\right)=\frac{x-11}{x^2-8x+12}$

a)

$x=2$ and $x=6$

b)

$x=-6$ and $x=-2$

c)

$x=-2$

d)

$x=6$

16.

Identify the vertical asymptote(s) of this function:
$g\left(x\right)=\frac{x^2-9x+8}{x^2+2x-48}$

a)

$x=-8$ and $x=6$

b)

$x=1$ and $x=8$

c)

$x=1$

d)

$x=6$

HW: Basic Functions Part 2

Total questions: 16

Worksheet time: 9mins

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