Domain Algebraically & Even/Odd Functions

• All real numbers

• [0, ∞)

• (-∞, 0) U (0, ∞)

• (-∞, 0]

 $f\left(x\right)=\frac{1}{x-5}$  Find the domain of

•  $\left(-\infty,5\right)U\left(5,\infty\right)$  

•  $\left[5,\infty\right)$  

•  $\left(-\infty,5\right]$  

•  $\left(-\infty,\infty\right)$  

Write the domain of  $f\left(x\right)=\frac{x}{x^2-16}$  

•  $\left(-\infty,0\right)U\left(4,\infty\right)$  

•  $\left[4,\infty\right)$  

•  $\left(-\infty,0\right)U\left(0,4\right]$  

•  $\left(-\infty,-4\right)U\left(-4,4\right)U\left(4,\infty\right)$  

Find the domain of  $g\left(x\right)=\sqrt{2x-4}$  

•  $\left(-\infty,2\right)\left(2,\infty\right)$  

•  $\left[2,\infty\right)$  

•  $\left(-\infty,2\right]$  

•  $\left(-\infty,\frac{1}{2}\right)\left(\frac{1}{2},\infty\right)$  

Tags

CCSS.HSF.IF.B.5

Find the domain of  $f\left(x\right)=\frac{1}{\sqrt{x-5}}$  

•  $\left(-\infty,5\right]$  

•  $\left(-\infty,5\right)\left(5,\infty\right)$  

•  $\left(5,\infty\right)$  

•  $\left[5,\infty\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

 $y=x^2+3x+9$  

• Even Function

• Odd Function

• Neither

Even, odd, or neither?

• Even

• Odd

• Neither

Tags

CCSS.HSF.BF.B.3

Is the function even, odd, or neither?

f(x) = 4x³

• Even

• Odd

• Neither

Tags

CCSS.HSF.BF.B.3

Is this an even, odd, or neither function?

f(x) = x⁴ + x²

• Even

• Odd

• Neither

Tags

CCSS.HSF.BF.B.3

The function in the graph is:

• Even

• Odd

• Neither