Vertical Horizontal asymptotes and intercepts from reciprocal function

The video tutorial explains function transformations, focusing on horizontal compression and vertical shifts. It discusses how these transformations affect asymptotes and intercepts. The instructor demonstrates finding the X intercept by solving equations and explains why there is no Y intercept due to the vertical asymptote at X=0.

What type of transformation occurs when a function is multiplied by a constant inside the function?

• Vertical stretch

• Horizontal compression

• Horizontal shift

• Vertical shift

How does adding a constant outside a function affect its graph?

• It stretches the graph vertically

• It compresses the graph horizontally

• It causes a vertical shift

• It causes a horizontal shift

What is the X-intercept of the function y = 1 / 2 / X + 4?

• X = 0

• X = 1/8

• X = 4

• X = -1/8

Why does the function y = 1 / 2 / X + 4 not have a Y-intercept?

• The graph is shifted vertically

• The graph is shifted horizontally

• The denominator becomes zero when X is zero

• The function is not defined for any X

What happens to the graph of a function when there is a vertical asymptote?

• The graph crosses the Y-axis

• The graph does not cross the Y-axis

• The graph becomes undefined

• The graph shifts left or right