FUNCTION GRAPHs 1

f(x) = 2|x + 2| -4

f(x) = 2|x - 4| + 2

f(x) = |x + 2| - 4

f(x) = -2|x - 4|

$f\left(x\right)=x+7$

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

$f\left(x\right)=-2\left|x\right|+1$

$f\left(x\right)=7x$

(0,1)

(4,1)

(-4,1)

(4,-1)

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

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

x=2 y =-1

x=1 y =2, y =-2

$f\left(x\right)=5x-1$

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

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

$f\left(x\right)=-3\left|x\right|+6$

A

B

C

D

$y=\sqrt[3]{x-3}+5$

$y=\sqrt[3]{x-3}-5$

$y=\sqrt[3]{x+3}+5$

$y=\sqrt[3]{x+3}-5$

(5,-3)

(5,3)

(-5,-3)

(-5,3)

Cube Root Function

Cubic Function

Polynomial Function

Square Root Function

 $f\left(x\right)=2x^2+1$  

 $f\left(x\right)=3x-1$  

 $f\left(x\right)=2\left[x+1\right]\$  

 $f\left(x\right)=\left|x\right|-3$  

2

3

2.5

2.7

Discrete Function

Segment Function

Step Function

Jump Function

Linear

f(2) = 0

f(2) = 1

f(2) = 3

f(2) = 4

(-∞, +∞)

(-∞, 4]

(-∞, 4)

[0, 4]