8. (20 pts, no explanation required) Consider the graph of the piecewise functio

ID: 3113689 • Letter: 8

Question

8. (20 pts, no explanation required)

Consider the graph of the piecewise function y = f (x) pictured below.

State the value of f (-2).

(b) State the x-intercept(s), if any.

(d) State the domain of the piecewise function.

(e) State the range of the piecewise function.

(f) State the interval(s) on which the function is increasing. That is, for what x-values is the function increasing?

(g) State the interval(s) on which the function is decreasing. That is, for what x-values is the function decreasing?

5 -6 -5 -3 -2 -1

a) f(-2) = 1

When the X cordinate is at -2, the Y cordinate is at 1.

b) X intercepts are the points at which the graph crosses the X axis.

Thus, (-5,0), (0,0), (3,0)

c) Y intercepts are the points at which the graph crosses the Y axis.

Thus, only (0.0)

d) domain of the function is the all possible values which X can take. Here X can take values from -6 to 5

Thus the domain of the function is [-6,5]

(Chegg policy states that in case of multiple sub questions, only the first 4 needs to be answered)

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