Use the graph to determine a the functions domain b the func

Use the graph to determine a. the function\'s domain, b. the function s range c. the x-intercepts, if any; d. the y-intercept, if any, and e. the missing function value, indicated by the question mark, below. f(-3)+ f(4) = ? The domain is (use a comma to separate answers as needed.)

Solution

From the given graph the coordinate points are (-3,-4),(-1,-4),(0,-4),(4,-4),(5,-4)

a.

Function domain includes all the x-values of graph.

Domain={-3,-1,0,4,5}

b.

Function range includes all the y-values of graph.

Range={-4}

c.

An x-intercept is a point on the graph where y is zero.

In this graph y is always -4

So,there is no x-intercept.

d.

An y-intercept is a point on the graph where x is zero.

This graph has x=0.

So,the y-intercept is (0,-4)

e.

For a line that is parallel to the x-axis,

the equation for such a line is: y = b, where b is a constant.

In this graph equation is y=-4.

f(x)=-4

f(-3)+f(4)=-4+(-4)

=-4-4

=-8