Exponential Decay Functions Answers
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1
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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.
2
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The table represents an exponential function.
A
0.2B
0.25C
0.5D
0.753
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).
4
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.
5
What is the multiplicative rate of change for the exponential function f(x) = ?
A
0.4B
0.6C
1.5D
2.56
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).7
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.
8
The table represents an exponential function.
A
One-third
B
Two-thirds
C
2D
99
The table represents an exponential function.
A
One-fifth
B
Two-fifths
C
2D
510
Which is an exponential decay function?
A
f start bracket x end bracket equals Three-fourths start bracket Seven-fourths end bracket superscript x
B
f start bracket x end bracket equals two-third start bracket Four-fifths end bracket superscript negative x
C
f start bracket x end bracket equals Three-halves start bracket Eight-sevenths end bracket superscript negative x
D
f start bracket x end bracket equals one-third start bracket negative nine-halves end bracket superscript x
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