Question

Determine the graph that represents a function. On a coordinate plane, a circle is shown that crosses the x-axis at (negative 5, 0), the y-axis at (0, 5), the x-axis at (5, 0), and the y-axis at (0, negative 5). On a coordinate plane, a parabola opens to the left. It crosses the y-axis at (0, 3) and (0, negative 3), and the x-axis at (9, 0). On a coordinate plane, a straight line with a positive slope crosses the y-axis at (0, negative 2) and the x-axis at (1.2, 0).

Answer 1

Answer: The graph that represents a function is the parabola that opens to the left.

This can be determined by the following characteristics of the graph:

It is a parabola because it opens to the left and has a vertex on the y-axis.

It crosses the y-axis at (0, 3) and (0, negative 3), which means that it is symmetric about the y-axis, and also it crosses the x-axis at (9, 0) which means that it is a function.

A circle is not a function because, for any value of x, there are two different values of y that can be plotted on the graph (i.e. the point (5,0) and (-5,0) produce two different y values)

A straight line with a positive slope is not a function because, for any value of x, there is only one value of y that can be plotted on the graph.

So the parabola is the graph that represents a function.

Explanation:

Answer 2

c

Explanation: