Michael J. answered • 09/24/17

Effective High School STEM Tutor & CUNY Math Peer Leader

Evaluate each part using the given domain. For example, f(2) would be evaluated at the last piece of the function.

Since the function covers all x values, the domain is all real numbers greater than or equal to -1.

To find range we need to evaluate the pieces at their end domains to see how the function behaves.

For the first piece,

f(1) = -1 + 1 = 0

The last piece is f(1) = 1

Since the graph starts out decreasing and then increasing, the range is (0, ∞).

Michael J.

This is a piecewise function, meaning that each part of the graph has a unique relationship.

You have to evaluate f(x) at x=0 , x=1 , and at x=2. So you need to evaluate f(x) at different domains.

at x=0 , use the part with the interval -1≤x≤1

at x=1 , use the part with the interval x=1

at x=2 , use the part with the interval x>1

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09/25/17

David C.

09/24/17