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

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. (b) State the range of the piecewise function. (d) State the interval(s) on which the function is increasing. That is, for what x-values is the function increasing? (e) State the interval(s) on which the function is decreasing. That is, for what x-values is the function decreasing? (f) The piecewise function has many pieces. Write the formula for just ONE PIECE of this piecewise function. (You choose the piece you prefer. No explanation required)

Explanation / Answer

a) at x=1 value of function i.e y=4

b) domain of function is - infinity to + infinity.

c) range of function is - infinity to + infinity.

d) x=-5 to x =-3 and from x=4 to x=6 function is increasing.

e) from x =0 to x=4 function is decreasing

d) y=6 is formula for one piece of function

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