Find the x and y intercepts of a rational function

The video tutorial covers the concepts of horizontal and vertical asymptotes, explaining their significance in graphing functions. It details how to find X and Y intercepts, solve rational functions, and understand horizontal asymptotes. The tutorial also guides students on choosing solution points for graphing and emphasizes the importance of these points in understanding the behavior of functions.

What do horizontal and vertical asymptotes indicate about a graph?

• The points where the graph crosses the axes

• The slope of the tangent line at a point

• The direction in which the graph approaches infinity

• The maximum and minimum values of the graph

How do you find the X-intercept of a function?

• Calculate the derivative of the function

• Find the slope of the tangent line

• Set the output (F of X) to zero

• Set the input (X) to zero

What is the value of F of X at the X-intercept?

• 1

• 0

• Infinity

• Undefined

To find the Y-intercept, what value should X be set to?

• Negative infinity

• 1

• 0

• Infinity

What is the Y-intercept of the function F of X = 5 + 2X / (1 + X) when X = 0?

• 1

• 0

• 5

• 2

What is the horizontal asymptote of the function discussed in the video?

• X = -1

• Y = -1

• Y = 0

• X = 0

When choosing solution points around an asymptote, how many points should be selected on each side?

• Two

• Three

• One

• Four