Brewer MAT270
HW2-Chapter 1, Function Review
Show all work.

1. Given the function f (x) = 4 + 4x², calculate the
following value:
f (a+h)−f (a)    =
      h
Correct answer:
• 8*a+4*h

2. Find the domain of the function:
f (x) = sqrt(2x−28)

3. Find the domain of the function:
f (x) = sqrt(14−7x)

Correct Answer:
• (-infinity,2]

4. Find the domain of the function:
g(t) = (t −26)^1/3


5. Find the domain of the function:
f (x) = sqrt(6+x)
               6−x
Correct Answer:
• [-6,6) U (6,infinity)

6. Find domain and range of the function
f (x) = −2x²−12x+13

7. The function f (x) = x−2 is _________.
(enter even, odd, or neither)

8. The function f (x) = x²+x is _________.
(enter even, odd, or neither)

9. The function f (x) = x³−x is _________.
(enter even, odd, or neither)