Multiple examples on how to graph the reciprocal function

The video tutorial covers how to graph rational functions, focusing on reciprocal functions and transformations. It explains how to find X and Y intercepts, and discusses vertical, horizontal, and slant asymptotes. The tutorial includes examples to illustrate these concepts, emphasizing understanding the behavior of graphs rather than perfect graphing.

What is the primary focus when graphing rational functions?

• Calculating the slope

• Determining the function's continuity

• Identifying asymptotes and intercepts

• Finding the domain and range

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

• Set Y to zero and solve for X

• Set X to zero and solve for Y

• Find the derivative and set it to zero

• Find the integral and set it to zero

What happens if you have zero in the denominator when finding intercepts?

• The intercept does not exist

• The intercept is zero

• The intercept is undefined

• The intercept is infinite

What is the parent function of a reciprocal function?

• F(x) = sqrt(x)

• F(x) = x^3

• F(x) = 1/x

• F(x) = x^2

How does a vertical stretch affect the graph of a reciprocal function?

• It shifts the graph left or right

• It compresses the graph horizontally

• It stretches the graph vertically

• It shifts the graph up or down

What transformation occurs when H is positive in a reciprocal function?

• The graph shifts up

• The graph shifts down

• The graph shifts left

• The graph shifts right

What is the effect of a negative sign in the denominator of a reciprocal function?

• It reflects the graph over the Y-axis

• It reflects the graph over the X-axis

• It shifts the graph up

• It shifts the graph down

How do you determine the vertical asymptote of a rational function?

• Set the numerator to zero

• Find the derivative

• Set the denominator to zero

• Find the integral

What is the horizontal asymptote of the function F(x) = 1/x?

• Y = 1

• Y = x

• Y = -1

• Y = 0

What does a horizontal compression by a factor of 2 mean for the graph?

• The graph is shifted right

• The graph is shifted left

• The graph is compressed horizontally

• The graph is stretched vertically