The table represents linear Function F. y 4 18 6. 24 10 36 The equation y=4x+ 2 represents Function G. Which statement is true? A The rate of change of Function G is less than the rate of change of Function F because 2< 3. B The rate of change of Function G is less than the rate of change of Function F because 4 < 9. C The rate of change of Function G is greater than the rate of change of Function F because 2>7 9. D The rate of change of Function G is greater than the rate of change of Function F because 4 > 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 76E
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17.
The table represents linear Function F.
y
4
18
6.
24
36
The equation y=4x+2 represents Function G.
Which statement is true?
A The rate of change of Function G is less than the rate of change of Function F
because 2< 3.
B The rate of change of Function G is less than the rate of change of Function F
because 4 < 9.
C The rate of change of Function G is greater than the rate of change of Function F
9
because 2>
7'
D The rate of change of Function G is greater than the rate of change of Function F
because 4> 3.
17
18.
The vertices of a triangle are located at F(-4, –2), G(2, 2), and H(0, –4). A sequence
of transformations to triangle FGH results in triangle F'G'H', as shown below.
y
4
F'
1 2 3 4 5
-1
G'
-5 -4 -3 -2
-2
--3
-4
-5
Which sequence of transformations to triangle FGH results in triangle F'G'H'?
A a 90° clockwise rotation about the origin, then a dilation by a scale factor of 2
with a center of dilation at the origin
B a 90° counterclockwise rotation about the origin, then a dilation by a scale factor
of 2 with a center of dilation at the origin
C a 90° counterclockwise rotation about the origin, then a dilation by a scale factor
of
I with a center of dilation at the origin
Da 90° clockwise rotation about the origin, then a dlation by a scale factor of
10
Transcribed Image Text:17. The table represents linear Function F. y 4 18 6. 24 36 The equation y=4x+2 represents Function G. Which statement is true? A The rate of change of Function G is less than the rate of change of Function F because 2< 3. B The rate of change of Function G is less than the rate of change of Function F because 4 < 9. C The rate of change of Function G is greater than the rate of change of Function F 9 because 2> 7' D The rate of change of Function G is greater than the rate of change of Function F because 4> 3. 17 18. The vertices of a triangle are located at F(-4, –2), G(2, 2), and H(0, –4). A sequence of transformations to triangle FGH results in triangle F'G'H', as shown below. y 4 F' 1 2 3 4 5 -1 G' -5 -4 -3 -2 -2 --3 -4 -5 Which sequence of transformations to triangle FGH results in triangle F'G'H'? A a 90° clockwise rotation about the origin, then a dilation by a scale factor of 2 with a center of dilation at the origin B a 90° counterclockwise rotation about the origin, then a dilation by a scale factor of 2 with a center of dilation at the origin C a 90° counterclockwise rotation about the origin, then a dilation by a scale factor of I with a center of dilation at the origin Da 90° clockwise rotation about the origin, then a dlation by a scale factor of 10
15.
Triangle F and triangle G are shown below.
y
6
4
F
1
-6 -5 -4 -3 -2 -1
1
2 3 4
5
-1
-2
-3
-4
-5
-6
Which sequence does not transform triangle F to triangle G?
A a 180° clockwise rotation about the origin
Ba 180° counterclockwise rotation about the origin
C a reflection over the x-axis and then a reflection over the y-axis
Da reflection over the v-axis and then a 90° clockwise rotation about the origin
15
16.
Which statement explains the type of function that is represented by the equation
y= x2 + 9?
A The function is linear because it contains more than one term.
B The function is linear because the variable x is raised to the second power.
C The function is nonlinear because it contains more than one term.
D The function is nonlinear because the variable x is raised to the second power.
Transcribed Image Text:15. Triangle F and triangle G are shown below. y 6 4 F 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5 -6 Which sequence does not transform triangle F to triangle G? A a 180° clockwise rotation about the origin Ba 180° counterclockwise rotation about the origin C a reflection over the x-axis and then a reflection over the y-axis Da reflection over the v-axis and then a 90° clockwise rotation about the origin 15 16. Which statement explains the type of function that is represented by the equation y= x2 + 9? A The function is linear because it contains more than one term. B The function is linear because the variable x is raised to the second power. C The function is nonlinear because it contains more than one term. D The function is nonlinear because the variable x is raised to the second power.
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