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4-3 Solve It!
If you forget
the definition of
a function, check
Lesson 4-2.
The table shows the relationship between
the number of steps in the staircase below
and the number of blocks needed to build
the staircase. Copy and complete the table.
Is the relationship a function? If so, is it a
linear function? Explain.
1 step
2 steps
Number
of Steps
Number
of Blocks
Ordered
Pair
1
1
(1, 1)
2
3
(2, 3)
3
6
(3, 6)
4
N
N
5
N
N
3 steps
4-3 Lesson Quiz
1. Do you UNDERSTAND? The surface area of
a cube is a function of the side length of the
cube as shown in the table. Is the function
linear or nonlinear?
Surface Area of a Cube
Side Length
(in.), x
Surface Area
(in.2), x
1
6
2
24
3
54
4
96
2. The ordered pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26)
represent a function. What is a rule that could represent this
function?
3. Tell whether the function shown by the table below
is linear or nonlinear.
0246_hsm11a1se_0403.indd 246
x
y
0
3
1
2
2
7
3
12
4
17
2/5/09 11:38:51 AM
Answers
Solve It!
Lesson Quiz
10, (4, 10); 15, (5, 15); yes; no
1. nonlinear
2. y 5 x2 1 1
3. linear
Prentice Hall Algebra 1 • Solve It/Lesson Quiz on Transparencies
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