SOLUTION: Suppose that a function y=f(x) is increasing on the interval (-5,2) a.)Over what interval is the graph of y=f(x+2) increasing? b.)Over what interval is the graph of y = f(x-4) de

Question 763763: Suppose that a function y=f(x) is increasing on the interval (-5,2)
a.)Over what interval is the graph of y=f(x+2) increasing?
b.)Over what interval is the graph of y = f(x-4) decreasing?
Normally I know how to figure out these kinds of problems; but since no equation or graph is given I am lost
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The x+2 is offsetting the input of x. The beginning of the function increase is at x+2=-5 and the ending of the function increase is at x+2=2. Solve each of these equations for x.

x+2=-5
x=-2-5
x=-7

x+2=2
x=-2+2
x=0

y=f(x+2) is increasing on the interval (-7, 0).
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