What does the parameter 'a' represent in the exponential function $$y = ab^x$$ ?

In the exponential function $$y = ab^x$$ , the parameter 'a' represents the initial value or the y-intercept of the function when $$x = 0$$ .

What does the parameter 'b' represent in the exponential function $$y = ab^x$$ ?

In the exponential function $$y = ab^x$$ , the parameter 'b' represents the growth (if $$b > 1$$ ) or decay (if $$0

What is the cost function for a chocolate bar that increases by 2% each year?

The cost function can be modeled as $$y = 1.25(1.02)^t$$ , where $$y$$ is the cost after $$t$$ years, and the initial cost is $1.25.

What is the significance of the constant in the cost function $$y = 1.25(1.02)^t$$ ?

The constant 1.25 in the cost function $$y = 1.25(1.02)^t$$ represents the initial cost of the chocolate bar before any increase.

What is the effect of changing the base in an exponential function?

Changing the base in an exponential function affects the rate of growth or decay. A larger base results in faster growth, while a base between 0 and 1 results in decay.

What is the domain of a logarithmic function?

The domain of a logarithmic function $$y = \text{log}_b(x)$$ is all positive real numbers, i.e., $$x > 0$$ .

What is the range of a logarithmic function?

The range of a logarithmic function $$y = \text{log}_b(x)$$ is all real numbers, i.e., $$y \text{ can take any real value}$$ .

How do you graph an exponential function?

To graph an exponential function, plot points for various values of $$x$$ , noting that the graph approaches the x-axis (asymptote) but never touches it, and increases or decreases rapidly depending on the base.

Precalculus - MP2 DA Review

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.5, HSF-IF.C.7E, HSF.LE.B.5

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FLASHCARD QUESTION

Front

What are inverse functions?

Back

Tags

CCSS.HSF-BF.B.4A

FLASHCARD QUESTION

Front

How do you determine if two functions are inverses?

Back

Tags

CCSS.HSF-BF.B.4B

FLASHCARD QUESTION

Front

What is the logarithmic form of an exponential equation?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the relationship between exponential and logarithmic functions?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.LE.B.5

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