Exponential Decay Functions Answers
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1
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Which is the graph of f(x) = 100(0.7)x?
A
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
B
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100).
C
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100).
D
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100).
2
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Which graph represents exponential decay?
A
On a coordinate plane, a straight line has a negative slope.
B
On a coordinate plane, a graph starts at (negative 2, 0) and curves up and to the right into quadrant 1.
C
On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2.
D
On a coordinate plane, a graph approaches y = 0 in quadrant 2 and curves up into quadrant 1.
3
Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?
A
On a coordinate plane, the point (0, 0.25) is graphed.
B
On a coordinate plane, the point (0.25, 0) is graphed.
C
On a coordinate plane, the point (0, 20) is graphed.
D
On a coordinate plane, the point (20, 0) is graphed.
4
The table represents an exponential function.
A
One-third
B
Two-thirds
C
2D
95
What is the multiplicative rate of change for the exponential function f(x) = ?
A
0.4B
0.6C
1.5D
2.56
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?
A
f(x) = 20,000(0.85)xB
f(x) = 20,000(0.15)xC
f(x) = 20,000(1.15)xD
f(x) = 20,000(1.85)x7
The table represents an exponential function.
A
One-fifth
B
Two-fifths
C
2D
58
The graph of f(x) = 2x is shown on the grid.
A
On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
D
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.
9
Which is the graph of ?
A
OptionB
OptionC
OptionD
Option10
Two exponential functions are shown in the table.
A
The functions f(x) and g(x) are reflections over the x-axis.B
The functions f(x) and g(x) are reflections over the y-axis.C
The function f(x) is a decreasing function, and g(x) is an increasing function.D
The function f(x) has a greater initial value than g(x).Did you find these answers helpful?
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