Pre-Calc A
1.2 Worksheet
Name _________________________________
Date ___________________
Hour ______
FUNCTIONS
1-4 Tell whether the pairing is a function.
1.
Domain
(Year)
Range
(Number of North Atlantic
tropical storms and
hurricanes)
12
1998
1999
3.
Input Output
14
15
2000
2001
2002
5
5
6
5
7
8
5
5
16
26
2003
2004
4.
2.
Input
Output
6
12
12
18
4
3
2
1
Input Output
1
3
5
15
20
15
7
20
5 – 13 Evaluate the function at each specified value of the independent variable and simplify
5. f(t) = 3t + 1
a.
f(2)
b.
f(-4)
c.
f(t + 2)
6. h(t) = t2 – 2t
7. V(r) =
a.
V(3)
b.
V( )
c.
V(2r)
8. f(x) =
a.
h(2)
a.
f(4)
b.
h(1.5)
b.
f(0.25)
c.
h(x + 2)
c.
f(4x2)
9. f(x) =
10. q(x) =
a.
f(-8)
a.
q(0)
b.
f(1)
b.
q(3)
c.
f(x-8)
c.
q(y + 3)
12. f(x) =
11. f(x) =
a. f(-2)
a. f(-1)
b. f(1)
b. f(0)
c. f(2)
c. f(2)
13. Find all real values of x such that f(x) = 0 : f(x) = 15 – 3x
14– 17 Find the domain of the function.
14. f(x) = 5x2 + 2x – 1
15. h(t) =
16. s(y) =
17. g(y) =
18. Cost, Revenue, and Profit A company produces a toy for which the variable cost is $12.30 per unit and
the fixed costs are $98,000. The toy sells for $17.98. Let x be the number of units produced and sold.
a. The total cost for a business is the sum of the variable cost and the fixed costs. Write the total cost C as a
function of the number of units produced.
b. Write the revenue R as a function of the number of units sold.
c. Write the profit P as the function of the number of units sold. (Note: P = R – C )