Evaluating Piecewise Functions

Section 1.4
Questions 29 & 30

Find each function value, if possible.

See attachment.

Question 29

For (a), use 2x + 1.

f(-1) = 2(-1) + 1

f(-1) = -1 + 1 or 0.

For (b), use 2x + 2.

f(0) = 2(0) + 2 or 2.

For (c), use 2x + 2.

f(2) = 2(2) + 2

f(2) = 4 + 2

f(2) = 6

Question 30

For (a), use -3x - 3.

f(-2) = -3(-2) - 3

f(-2) = 6 - 3 or 3

For (b), use x^2 + 2x - 1.

f(-1) = (-1)^2 + 2(-2) - 1

f(-1) = 1 - 4 - 1

f(-1) = -4

For (c), use x^2 + 2x - 1.

f(1) = (1)^2 + 2(1) - 1

f(1) = 1 + 2 - 1

f(-1) = 2

You say?

 

Question 29
correction:
For (a), use 2x + 1.

f(-1) = 2(-1) + 1

f(-1) = -2 + 1
f(-1) = -1

all others are correct

 

I was rushing through the problems. I am at the job.