Answers JHS-Algebra 1A full yearZero and Negative Exponents

Linear Growth vs. Exponential Growth Answers

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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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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.

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 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.

The table represents an exponential function.

0.2

0.25

0.5

0.75

The table represents an exponential function.

One-fifth

Two-fifths

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?

f(x) = 20,000(0.85)x

f(x) = 20,000(0.15)x

f(x) = 20,000(1.15)x

f(x) = 20,000(1.85)x

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).

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)

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Linear Growth vs. Exponential Growth Answers

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