Q:

A function is defined as a relation for which each x-value has exactly one corresponding y-value. The graph of a function, f(x) is shown below.Use the graph of the function, f(x), to complete each statement. Enter numerical answers into the spaces provided.1.f(0)=_____2.f(2)=_____3.For the function,f(x), there are exactly three x-values for which the corresponding y-value is zero. In ascending order,f(x), whenx=_____, ______, and______4.f(-8)=______5.f(-6)=_______

Accepted Solution

A:
If you want to evaluate a function [tex]f[/tex] at a specific point [tex]k[/tex], you'll have to look for [tex]k[/tex] on the x axis, and then look vertically for the point on the graph.The y coordinate of that point is the corresponding y value.So, for example, if we want [tex]f(0)[/tex], we start from the origin and go up, until we find the point [tex](0,1)[/tex] that belongs to the graph. So, we have [tex]f(0)=1[/tex].Similarly, for [tex]f(2)[/tex], we start from 2 on the x axis and go up until we meet the point [tex](2, 2)[/tex] on the graph. So, we have [tex]f(2)=2[/tex].For [tex]f(-8)[/tex], we start from -8 on the x axis and go up until we meet the point [tex](-8, 3)[/tex] on the graph. So, we have [tex]f(-8)=3[/tex].For [tex]f(-6)[/tex], we start from -6 on the x axis and go down until we meet the point [tex](-6, -3)[/tex] on the graph. So, we have [tex]f(-6)=-3[/tex].The three x-values for which the corresponding y-value is zero are the x-coordinates of the points where the graph crosses the x axis (this means that the y axis is zero). Those three points are [tex](-7, 0),\ (-2, 0),\ (4, 0)[/tex]