Problem Set

Functional Notation


SHOW SOLUTIONS

1.     f(x) = x2  +  5x –24

a.  Find f(0)

b.  Find f(-1)

c.  Find f(3)

2.     f(x) = 3x2 –4

a.  Find f(0)

b.  Find f(-1)

c.  Find f(1)

d.  Find f(.5)

3. Consider the following demand function:

d(p) = p2 –20p + 125

a. find d(2)

b. find d(5)

c. find d(8)

d. find d(10)

4.        

a.  find f(4)

b.  find f(6)

c.  find f(15)

5.  f(x) = x – 3   and g(x) = x2 + 2

a. find f(0)  + g(0)

b. find  [f(1)] [g(2)]

6.        

a. Find f(2)

b. Find f(0)

c. Find f(-4)

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?

 

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