Answers KISD SS-3350B-Algebra I B-CRExponential Decay Functions

Vertical Stretches and Shrinks of Exponential Functions Answers

0 verified answers

Free Preview

Which is the graph of ?

Option

Free Preview

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).

A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?

f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0

f(x) = 5000(0.6)x, with a vertical asymptote of x = 0

f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0

f(x) = 5000(1.6)x, with a vertical asymptote of x = 0

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.

The table represents an exponential function.

One-fifth

Two-fifths

The table represents an exponential function.

One-third

Two-thirds

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

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.

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

0.4

0.6

1.5

2.5

The graph of f(x) = 2x is shown on the grid.

On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.

On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.

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.

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 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).

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)

The table represents an exponential function.

0.2

0.25

0.5

0.75

Did you find these answers helpful?

Vertical Stretches and Shrinks of Exponential Functions Answers

More from this Course

TRY EDGENUITY HACKS