Applying and analysing functions

What is the zero of this function?

 $f\left(x\right)=\frac{2x+5}{3x-1}$  

•  $\frac{5}{2}$  

•  $-5$  

•  $\frac{1}{3}$  

•  $\frac{-2}{5}$  

•  $\frac{-5}{2}$  

What is the zero of the graph?

• -2

• 0

• -4

• -3

What are the y-int (s) of this function?

Select all that apply

 $f\left(x\right)=\frac{\left(x-8\right)\left(2x+5\right)}{\left(x+1\right)\left(x-4\right)}$  

• ( 0 , 10 )

• ( 0 , 8 )

• ( 0 , 4 )

• ( 0 , -2.5 )

• ( 0 , -1 )

What is the y-intercept of

 $f\left(x\right)=\frac{x-3}{x+3}?$  

• 0

• -1

• -3

• -5

What is the zero of the graph?

• -2
• -5
• 0
• -4

How do we determine the x-intercept(s) of a rational function?

• Excluded values

• Degrees of the numerator and denominator

• Set the numerator equal to 0

• Set the simplified numerator equal to 0

Identify the x-intercept(s).

• (0,0)

• (4,0)

• (0,4)

• (3,0)

Find the y-intercept.

• (0, 0)

• (4/5,0)

• (0,4/5)

• (0,-4/5)

• x = -3

• x = 3

• x = -1/2

• no x-intercept

• (-3,0) & (-8,0)

• (3,0) & (8,0)

• x = 2

• none

• x=-3

  x=-8