Answers HVS FL-1200315-Algebra 1 Sem 1 CR v23Exponential Decay Functions

Exponential Decay Functions Answers

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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?

On a coordinate plane, the point (0, 0.25) is graphed.

On a coordinate plane, the point (0.25, 0) is graphed.

On a coordinate plane, the point (0, 20) is graphed.

On a coordinate plane, the point (20, 0) is graphed.

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Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What multiplicative rate of change should Hal use in his function?

0.02

0.98

1.02

1.98

What is the multiplicative rate of change for the exponential function f(x) = ?

0.4

0.6

1.5

2.5

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?

f(x) = 1,200(1.03)x

f(x) = 1,200(0.03)x

f(x) = 1,200(0.97)x

f(x) = 1,200(0.97x)

Which is an exponential decay function?

f start bracket x end bracket equals Three-fourths start bracket Seven-fourths end bracket superscript x

f start bracket x end bracket equals two-third start bracket Four-fifths end bracket superscript negative x

f start bracket x end bracket equals Three-halves start bracket Eight-sevenths end bracket superscript negative x

f start bracket x end bracket equals one-third start bracket negative nine-halves end bracket superscript x

Which are true of the function f(x) = 49? Select three options.The domain is the set of all real numbers. The range is the set of all real numbers. The domain is x > 0.The range is y > 0.As x increases by 1, each y-value is one-seventh of the previous y-value.

The domain is the set of all real numbers.

The range is the set of all real numbers.

The domain is x > 0.

The range is y > 0.

As x increases by 1, each y-value is one-seventh of the previous y-value.

Which is the graph of ?

Option

Which graph represents exponential decay?

On a coordinate plane, a straight line has a negative slope.

On a coordinate plane, a graph starts at (negative 2, 0) and curves up and to the right into quadrant 1.

On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2.

On a coordinate plane, a graph approaches y = 0 in quadrant 2 and curves up into quadrant 1.

Two exponential functions are shown in the table.

The functions f(x) and g(x) are reflections over the x-axis.

The functions f(x) and g(x) are reflections over the y-axis.

The function f(x) is a decreasing function, and g(x) is an increasing function.

The function f(x) has a greater initial value than g(x).

Which is the graph of f(x) = 100(0.7)x?

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).

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).

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).

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).

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Exponential Decay Functions Answers

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