Lesson 6.3 Understanding Linear and Nonlinear Functions

Name: Date: Lesson 6.3 Understanding Linear and Nonlinear Functions
Tell whether each table of values represents a linear or nonlinear function.
1.
3.
x
1
3
5
7
y
2
18
50
98
x
24
0
4
8
y
4
5
6
7
2.
4.
x
21
3
7
11
y
24
8
20
32
x
22
0
2
4
y
28
4
28
214
Tell whether each graph represents a linear function. If so, find the rate of change.
6.
y
6
5
5
4
4
3
3
2
2
1
1
2 1
y
0
0
1
2
x
1
2
3
4
5
x
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5.
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Name: Date: Tell whether each function is linear or nonlinear. Then tell whether the function is increasing or decreasing.
7.
0
© Marshall Cavendish International (Singapore) Private Limited.
9.
8.
y
x
0
0
10.
y
x
y
x
y
0
x
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Name: Date: Describe the function. Sketch a graph for the function.
11. A hot beverage dispenser machine with a capacity of 3.3 liters dispenses
110 milliliters cup of a beverage into a mug for every press of the dispense
button. The total amount of beverage left in the dispenser, V liters, is a function
of the number of presses on the dispense button, p.
a)
Give the least possible input and the corresponding output value. Tell
whether the function is increasing or decreasing. Then tell whether the
function is linear or nonlinear. Explain.
b) Sketch a graph for the function.
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Name: Date: Describe the function. Sketch a graph for the function.
12. A printer prints black and white pages of a book at a constant rate of 24 pages
per minute. The total number of pages printed, D, is a function of the number
of minutes that the pages are printed, t.
a)Give the least possible input value and the corresponding output value.
Tell whether the function is increasing or decreasing. Then tell whether the
function is linear or nonlinear. Explain.
b) Sketch a graph for the function.
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Name: Date: Solve. Show your work.
13. An internet file can be downloaded at s kilobytes per second via a broadband
connection. The total amount of data downloaded, D kilobytes, is a function of
the speed at which the data can be downloaded, s.
a)Give the least possible input value and the corresponding output value.
Tell whether the function is increasing or decreasing. Then tell whether the
function is linear or nonlinear. Explain.
b) Sketch a graph for the function.
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Name: Date: Solve. Show your work.
14. The table shows the age of Kelly’s father, y, as a function of Kelly’s age, x.
Input, Kelly’s Age
(x years)
0
4
8
12
16
20
Output, Kelly’s Father’s
Age (y years)
24
32
40
48
56
64
a)
Tell whether the function is linear or nonlinear. Then tell whether the
function is increasing or decreasing. Explain.
b)Graph the table of values and draw a line through the points. Use 1 unit
on the horizontal axis to represent 4 years for the x interval from 0 to 20
and 1 unit on the vertical axis to represent 8 years for the y interval from
24 to 64. Do the coordinates of every point on the line make sense for
the function? Explain.
Age Comparison
Kelly’s Father’s Age
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y
x
Kelly’s Age
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