4.5 Multi-Step Graphing

What type of horizontal or oblique asymptote will this rational have?

 $y=\frac{x^3+4x+1}{x^2-2x+1}$  

• No HA or OA

• HA @ y = 0

• HA @ y = leading coefficients

• OA, must do long division

Tags

CCSS.HSF-IF.C.7D

What type of horizontal or oblique asymptote will this rational have?

 $y=\frac{2x^2+4x+1}{x^2-4}$  

• No HA or OA

• HA @ y = 0

• HA @ y = leading coefficients

• OA, must do long division

Tags

CCSS.HSF-IF.C.7D

What type of horizontal or oblique asymptote will this rational have?

 $y=\frac{x^2+4x+1}{x^2-4x^3}$  

• No HA or OA

• HA @ y = 0

• HA @ y = leading coefficients

• OA, must do long division

Tags

CCSS.HSF-IF.C.7D

What type of horizontal or oblique asymptote will this rational have?

 $y=\frac{x^5+2x^3+x^2}{-4x^3+1}$  

• No HA or OA

• HA @ y = 0

• HA @ y = leading coefficients

• OA, must do long division

Tags

CCSS.HSF-IF.C.7D

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

Tags

CCSS.HSF-IF.C.7D

What is the Y-Intercept? 

• (0, 5)
• (0, -6)
• (0, 1)
• (0, -5/6)

Tags

CCSS.HSF-IF.C.7D

Identify the Oblique Asymptote for this function.

• y = 5x - 7

• y = 5x + 13

• y = 5x + 3

• y = 5x + 7

Tags

CCSS.HSF-IF.C.7D

What is/are the x-intercepts of this graph?

• (-2,0) and (2,0)
• (-2,0)
• (3,0)
• (2,0) and (3,0

Tags

CCSS.HSF-IF.C.7D

What are the y intercept(s) of the function?

 $y=\frac{3}{x^2+2x-8}$  

•  $\left(0,-\frac{3}{8}\right)$  

•  $\left(0,\frac{3}{8}\right)$  

• (0,0)

• (0,4), (0,-2)

Tags

CCSS.HSF-IF.C.7D

Which equation could give you this graph?

• $f\left(x\right)=\frac{x^2-4}{x^2-1}$

• $g\left(x\right)=\frac{x^2-1}{x^2-4}$

• $h\left(x\right)=\frac{x-2}{x^2-1}$

• $j\left(x\right)=\frac{x^2-1}{x-2}$

Tags

CCSS.HSF-IF.C.7D