1. f(x) = x2 + 5x –24
a. Find f(0)
Answer:
f(0) = (0)2 + 5(0) –24 = -24
b. Find f(-1)
Answer:
f(-1) = (-1)2 + 5(-1) –24 = -28
c. Find f(3)
Answer:
f(3) = (3)2 + 5(3) –24 = 0
2. f(x) = 3x2 –4
a. Find f(0)
Answer:
f(0) = 3(0)2 –4 = -4
b. Find f(-1)
Answer:
f(-1) = 3(-1)2 –4 = -1
c. Find f(1)
Answer:
f(1) = 3(1)2 –4 = -1
d. Find f(.5)
Answer:
f(.5) = = (.5)2 –4 = -3.25
3. Consider the following demand function:
d(p) = p2 –20p + 125
a. find d(2)
Answer:
d(2) = 22 –20(2) + 125 = 89
b. find d(5)
Answer:
d(5) = 52 –20(5) + 125 = 50
c. find d(8)
Answer:
d(8) = 82 –20(8) + 125 = 29
d. find d(10)
Answer:
d(10) = 102 –20(10) + 125 = 25
4.
a. find f(4)
Answer:
b. find f(6)
Answer:
c. find f(15)
Answer:
5. f(x) = x – 3 and g(x) = x2 + 2
a. find f(0) + g(0)
Answer:
f(0) + g(0) = (1-3) + (02 + 2) = -1
b. find [f(1)] [g(2)]
Answer:
[f(1)] [g(2)] = [1 – 3] [22 + 2] = -12
6. 
a. Find f(2)
Answer:
b. Find f(0)
Answer:
c. Find f(-4)
Answer:
7. A firm spends x dollars on product development and y dollars on advertising. Its profit is described by the following relationship:
a. What is profit if the firm spends $2,000 on product development and $5,000 on advertising?
b. What is profit if the firm spends $10,000 on product development and $8,000 on advertising?
Solution:
a.
Profit is $366,000.
b.
Profit is $1,476,000.
[Index]
