Key Features of Graphs Quiz Review

When drawing a graph, the key features you need to plot are:

• x-intercepts

• y-intercepts

• horizontal asymptote

• vertical asymptote

Which calculator steps helps us to find x-intercepts, y-intercepts, maximum values, minimum values, and intersection points?

• Put Equation in Y= -> 2nd -> Trace

• 2nd -> Y= -> Stat Plot On

• Calc

• Stat -> Edit

Which of the following will NOT help draw the function $f\left(x\right)=\frac{-8}{x-4}+2$  

• Plot the x-intercept (8 , 0)

• Plot the y-intercept (0 , 4)

• Draw the horizontal asymptote y = 2

• Draw the horizontal asymptote x = 4

• Plot the point (4 , 0)

Which of the following correctly describes the point (1,3)?

• Local Maximum

• Global Maximum

• Local Minimum

• Global Minimum

Which of the following best describes the point (-1,5)

• Local Maximum

• Global Maximum

• Local Minimum

• Global Minimum

Use your GDC to find the x-intercepts of the function $f\left(x\right)=\frac{x^2-4}{x^3-1}$  

• (-2,0)

• (0,-2)

• (2,0)

• (0,4)

Write the equation of the horizontal asymptote of the function: $f\left(x\right)=\frac{3}{x-4}+3$  

(a)  

Write the equation of the vertical asymptote of the function: $f\left(x\right)=\frac{x}{x-2}+3$  

(a)  

How many vertical asymptotes does the function have? $f\left(x\right)=\frac{x}{x^2-4}+3$  

• 0

• 1

• 2

• 3

How do we find x-intercepts from an equation?

• Let y = 0 and solve for x.

• Let x = 0 and solve for y.