Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 33
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47Does the equation represent a linear or nonlinear function? Explain.
8
12. 2x + 3y = 7
13. y + x = 4x + 5
14. y =
3
3
—
2
x
15.
LIGHT
The frequency y (in terahertz) of a light wave is a function of its
wavelength x (in nanometers). Does the table represent a linear or nonlinear
function? Explain.
Color
Red
Re
Red d
d
Yellow
Yell llow
ow
Green
Gree
een
Blue
Bl Blue
ue
Violet
Vi
Vi
i
ol olet
l
et
Wavelength, x
660
595
530
465
400
Frequency, y
454
504
566
645
749
16.
MODELING
The table shows the cost y (in dollars) of x pounds of sunfl ower seeds.
a. What is the missing y-value that makes the table represent a
Pounds, x
Cost, y
linear function?
2
2.80
b. Write a linear function that represents the cost y of x pounds
3
?
of seeds. Interpret the slope.
4
5.60
c. Does the function have a maximum value? Explain your reasoning.
17.
TREES
Tree A is 5 feet tall and grows at a rate of
Years, x
Height, h
1.5 feet per year. The table shows the height h (in feet)
0
5
of Tree B after x years.
1
11
a. Does the table represent a linear or nonlinear
4
17
function? Explain.
9
23
b. Which tree is taller after 10 years? Explain.
18.
The ordered pairs represent a function.
(0, − 1), (1, 0), (2, 3), (3, 8), and (4, 15)
a. Graph the ordered pairs and describe the pattern. Is the function
linear or nonlinear?
b. Write an equation that represents the function.
The vertices of a fi gure are given. Draw the fi gure and its image after a dilation with
the given scale factor k. Identify the type of dilation.
(Section 2.7)
19. A(− 3, 1), B(− 1, 3), C(− 1, 1); k = 3
1
20. J(− 8, − 4), K(2, − 4), L(6, − 10), M(− 8, − 10); k =
—
4
21.
MULTIPLE CHOICE
What is the value of x ?
(Section 3.3)
125
55
○
25
○
35
A
B
x
125
○
○
55
125
C
D
Section 6.4
Comparing Linear and Nonlinear Functions
271
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