Question

MATH

NATION
Evaluate the piecewise-defined function for the given values of x by matching the domain values with
the range values.
x + 2, x<-3
f(x) = {3x – 4, -35x<1
(-2x + 4, x 1
=

Answer 1

f(-4)=-2, f(4)=-4, f(0)=-4

Explanation:

-4 is less than -3, so you would input it for that equation, your answer would be -2.

4 is greater than 1, so you would input it for that equation, your answer would be -4

0 is between -3 and 1, so you would input it for that equation, your answer would be -4

Answer 2

f(-4) = -2

Explanation:

To find f(-4) use the "piece" of the function rule defined for x < -3 (because -4 is less than -3). That part of the rule says the output (range) value is x + 2, so f(-4) = -4 + 2 = -2.