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

ID: 3039509 • Letter: C

Question

Consider the graph of the piecewise function y = f(x) pictured below. (a) State the value of f(1). (b) State the domain of the piecewise function. (c) State the range of the piecewise function. (d) State the x-intercept(s), if any. (e) State the y-intercept(s), if any. (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?

Explanation / Answer

a) f(1) = 4

b) Domain : [ -5 , 5]

c) Range : [ -3 , 4]

d) x intercepts : x = -4 , 3

e) y intercept : y = 3

f) increasing : [ -5 , 1] U [ 4 , 5]

g) decreasing : [1 , 4]