Question

What kind of graph of a function shows the same output values, or y-values, for each input value, or x-value?

a) Line graph
b) Bar graph
c) Parabolic graph
d) Horizontal line graph

Answer 1

A horizontal line graph represents a function where the output value remains constant for all input values, corresponding to a linear equation with a slope of zero.

Step-by-step explanation:

The type of graph that shows the same output values, or y-values, for each input value, or x-value, is a horizontal line graph. In the context of linear equations, a horizontal line graph represents a function where the slope (b) equals zero (b = 0). This implies that the value of y does not change regardless of the x-value, hence showing a constant relationship. For example, the equation y = a + bx becomes y = a when b is zero, and plotting this equation yields a horizontal line at the y-value of a.