
Exponential Functions Part A 2021 Lesson/Practice
Presentation
•
Mathematics
•
12th Grade
•
Medium
Standards-aligned
Caiti Marie Ewing
Used 4+ times
FREE Resource
6 Slides • 22 Questions
1
Graphs of Exponential Functions Lesson/Practice
2
3
Multiple Choice
The relationship is __________because each y-value is _____________the value before it.
linear, 3 times
linear, 4 more than
exponential, 3 times
exponential, 4 more than
4
Multiple Choice
Is the relationship linear, exponential, or neither?
Linear with a constant rate of change of 3/5
Linear with a constant rate of change of 3/1
Exponential with a constant factor of 3/1
Exponential with constant factor of 3/5
Neither
5
6
7
Multiple Select
Which of the following are examples of exponential growth? (Choose all that apply)
y = 5(21)x
y = 5(23)x
y = 0.2(3)x
y = 600(0.98)x
8
Multiple Choice
Which could represent the graph of the function
g(x)=6(38)x ?9
Multiple Choice
Which graph matches this equation?
10
Multiple Choice
Which equation matches this graph?
11
Multiple Choice
Which graph matches the equation?
12
Multiple Choice
Which graph matches the equation?
y=−3(4)x+2
y=−3(41)x+2
y=3(4)x+2
y=3(41)x+2
13
Multiple Choice
Which graph matches the equation?
y=−3(3)x+2
y=−3(31)x+2
y=−3(3)x−2
y=−3(31)x−2
14
Multiple Choice
What is the equation for this graph?
y=2x−4
y=2x−5
y=3x−4
y=3x−5
15
16
Multiple Choice
The parent function f(x)=3x has been shifted to the left 2 units, reflected vertically over the x-axis, and shifted up 5 units. What equation models the transformed graph?
f(x)=−3x−2+5
f(x)=3x−2−5
f(x)=−3x+2+5
f(x)=3x+2−5
17
Multiple Choice
Consider the parent function f(x) = 4x. Which statement describes the graph g(x) = f(x - 3) + 5.
The graph would be translated right 3 and down 5.
The graph would be translated left 3 and down 2.
The graph would be translated right 3 and up 5.
The graph would be translated left 3 and up 5.
18
Multiple Choice
Which of the following describes the transformation of g(x)=21⋅2(x+2)−3 from the parent graph f(x)=2x
Vertically shift down 3, horizontally shift left 2, and vertically stretch by 1/2 units
Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units
Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units
Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units
19
Multiple Choice
What are the transformations of the function
g(x)=−3(4)x−2−5 from the parent function?reflect, stretch
right 2, down 5
stretch
right 2
down 5
reflect, shrink
left 2, down 5
shrink
left 2
down 5
20
Characteristics of Exponentials
Domain: all real numbers
Range: y > - 3
y-intercept (0,-2)
End Behavior: as x → ∞ then f(x) → ∞
x → −∞ then f(x) → −3
21
Multiple Choice
What is the equation of the horizontal asymptote for the equation y=2(3)x−4 ?
y=−4
y=−2
y=2
y=3
22
Multiple Choice
What is the y-intercept of the graph represented by the equation y=5(4)x−3 ?
(0,−3)
(0,1)
(0, 2)
(0,17)
23
Multiple Choice
What is the domain of the graph?
(−∞,∞)
(−2,∞)
(−4,4)
(−∞,2)
24
Multiple Choice
What is the range of this graph?
y>−3
(0,−3)
y>−6
y<−6
25
Multiple Choice
End Behavior: As x→∞, f(x)→
−4
−3
∞
−∞
26
Multiple Choice
End Behavior: As x→−∞, f(x)→
−4
−3
∞
−∞
27
Multiple Choice
What is the Range of the function graphed?
(−8,∞)
[−8,∞)
(−∞,∞)
(∞,−8)
28
Multiple Choice
Which equation matches the graph?
y = 4x + 3
y = 4x - 3
y = 4x + 3
y = 4x - 3
Graphs of Exponential Functions Lesson/Practice
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