Analyzing Rational Function Graphs

Write an equation for a rational function with an x-intercept of (–1, 0), a hole at x = 3, and a VA at   x = 4. 

• y= (x-1)(x+3) / (x+4)(x+3)
• y= (x-4)(x-3) / (x+1)(x-3)
• y= (x+1)(x-3) / (x-4)(x-3)
• y= (x+4)(x+3) / (x+1)(x+3)

Tags

CCSS.HSF-IF.C.7D

Write an equation of a rational function that has a V.A. at x = 5, and an x- intercept of (3, 0).

• y= (x-3) / (x-5)
• y= (x+3) / (x+5)
• y= (x+3) / (x-5)
• y= (x-3) / (x+5)

Tags

CCSS.HSF-IF.C.7D

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes

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

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -1         y = -3
• x = 1          y = -3
• x = -1         y = 3
• x = 1          y = 3

Tags

CCSS.HSF-IF.C.7D

Using the following table, what does x=3 represent?

• Vertical Asymptote
• Hole
• Horizontal Asymptote
• X-intercept

Tags

CCSS.HSF-IF.C.7D

Using the following table, what is the horizontal asymptote?

• y=1
• y=2
• y=-57
• y=-1

Using the following table, what are the correct x and y-intercepts?

• (3,0)(0, -.667)
• (-1,0)(0,-3)
• (-1,0)(0,-0.667)
• (-1,0)(0,3)

If the equation of f(x) is 
f(x)= (x+2)/(x^2-3x-4) and the graph of g(x) is the image, which is a true statement?

• They both have a vertical asymptote at x=3
• They both have a horizontal asymptote of y=1
• They both have a range of all real numbers
• They both have an x-intercept of (-2,0)

Tags

CCSS.HSF-IF.C.7D