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

Exponential Decay Functions Answers

0 verified answers

Free Preview

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

Free Preview

The table represents an exponential function.

One-fifth

Two-fifths

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 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 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).

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.

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

The table represents an exponential function.

0.2

0.25

0.5

0.75

Which is the graph of ?

Option

Did you find these answers helpful?

Exponential Decay Functions Answers

More from this Course

TRY EDGENUITY HACKS