Evaluating Functions
Precalculus HS Mathematics Unit: 02 Lesson: 02
Evaluating Functions Evaluate functions using algebraic expressions, tables, and graphs, and describe the results verbally. Expressions c(m) = 2m 2 − 3m
f ( x ) = 32 x − 5 1)
f (16 ) =
4)
c (4) =
2)
f ( −9 ) =
5)
c ( −6) =
3)
f ( 2a − 6) =
6)
c (b − 2) =
Tables x 1 2 3 4 5 6 7
r(x) 3 4 2 1 5 1 2
d -3 -2 -1 0 1 2 3
7) r (3) = 8) r (5) = 9) For what value(s) of x is r(x) = 1?
h(d) 5 5 4 2 0 -1 -3
10) h(0) = 11) h( −3) = 12) For what value(s) of d is h(d) = 1?
Graphs The graph shows y = f(x). Estimate the following. 13)
f (4) =
14)
f ( −1) =
15)
f ( −2 ) =
16)
f (0 ) =
17) For what value(s) of x is f ( x ) = −1?
18) For what value(s) of x is f ( x ) = 5 ?
©2012, TESCCC
05/17/12
page 1 of 2
Precalculus HS Mathematics Unit: 02 Lesson: 02
Evaluating Functions
Amount of Fine ($)
In the town of Smallville, Texas, drivers who are caught speeding are given fines (f, in dollars) according to how many miles per hour (m) they were driving over the posted speed limit. The graph of this function, f(m), is shown here. In the problems that follow, find the missing values, and translate between function notation and verbal descriptions.
Speed Over Limit (mph)
Verbal Description
Function Notation
19)
A person driving 30 mph over the speed limit can expect to get what kind of fine in Smallville?
20)
Wanda was fined in Smallville for going 45 mph in an area with a 30 mph speed limit. What was her fine?
21)
Barry was fined $200 for a speeding offense in Smallville. How many miles per hour was he driving over the speed limit?
22)
f(50) = ______
23)
f(5) = ______
24)
f(m) = $175 m = ______
©2012, TESCCC
05/17/12
page 2 of 2
Evaluating Functions Evaluate functions using algebraic expressions, tables, and graphs, and describe the results verbally. Expressions c(m) = 2m 2 − 3m
f ( x ) = 32 x − 5 1)
f (16 ) =
4)
c (4) =
2)
f ( −9 ) =
5)
c ( −6) =
3)
f ( 2a − 6) =
6)
c (b − 2) =
Tables x 1 2 3 4 5 6 7
r(x) 3 4 2 1 5 1 2
d -3 -2 -1 0 1 2 3
7) r (3) = 8) r (5) = 9) For what value(s) of x is r(x) = 1?
h(d) 5 5 4 2 0 -1 -3
10) h(0) = 11) h( −3) = 12) For what value(s) of d is h(d) = 1?
Graphs The graph shows y = f(x). Estimate the following. 13)
f (4) =
14)
f ( −1) =
15)
f ( −2 ) =
16)
f (0 ) =
17) For what value(s) of x is f ( x ) = −1?
18) For what value(s) of x is f ( x ) = 5 ?
©2012, TESCCC
05/17/12
page 1 of 2
Precalculus HS Mathematics Unit: 02 Lesson: 02
Evaluating Functions
Amount of Fine ($)
In the town of Smallville, Texas, drivers who are caught speeding are given fines (f, in dollars) according to how many miles per hour (m) they were driving over the posted speed limit. The graph of this function, f(m), is shown here. In the problems that follow, find the missing values, and translate between function notation and verbal descriptions.
Speed Over Limit (mph)
Verbal Description
Function Notation
19)
A person driving 30 mph over the speed limit can expect to get what kind of fine in Smallville?
20)
Wanda was fined in Smallville for going 45 mph in an area with a 30 mph speed limit. What was her fine?
21)
Barry was fined $200 for a speeding offense in Smallville. How many miles per hour was he driving over the speed limit?
22)
f(50) = ______
23)
f(5) = ______
24)
f(m) = $175 m = ______
©2012, TESCCC
05/17/12
page 2 of 2
