Exponential Functions and Their Characteristics

Find the Initial Value for the table.

• 3.5

• 5

• 4.5

• 2.5

Write an equation to model the table

• f(x) = 3 (5)^x

• f(x) = 10 (2)^x

• f(x) = 4(4)^x

• f(x) = 5 (3)^x

A scientist used the function B(t) = 1850(0.75)^t to show the amount of bacteria present in a specimen jar t minutes after being in the freezer. Which statement explains the meaning of the 1850?

• 1850 is the rate at which bacteria multiply.

• 1850 represents the maximum capacity of the jar.

• 1850 indicates the temperature of the freezer.

• 1850 is the initial amount of bacteria present in the specimen jar.

A scientist used the function B(t) = 1850(0.75)^t to show the amount of bacteria present in a specimen jar t minutes after being in the freezer. Which statement explains the meaning of the 0.75?

• 0.75 represents the bacteria population doubling each minute.

• 0.75 indicates that the bacteria population remains constant over time.

• 0.75 indicates that the bacteria population decreases to 75% of its previous amount each minute.

• 0.75 shows that the bacteria population increases by 25% each minute.

In an exponential function, what does the 'a' represent?

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Is the function Exponential Growth or Decay?

• Growth

• Decay

• Neither

Exponential Functions and Logarithmic Functions are

How are geometric sequences similar to exponential functions? Mark all that apply.

• They are always discrete.

• They can grow or decay.

• They can increase or decrease by a percent.

• They change by a different amount every time.

Answer explanation

Exponential equations may be discrete or continuous, depending on the context.

Which statements are true about the graph? CHECK ALL THAT APPLY

• exponential growth, initial value is 1

• exponential decay, asymptote is 1

• exponential growth, asymptote is 1

• initial value is 2, asymptote of 1

Which statements are true? CHECK ALL THAT APPLY

• initial value is 0

• exponential growth

• exponential decay

• asymptote of 6