What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is the y-intercept of the function $$y = 7(5/4)^x$$ ?

The y-intercept is 7, which is the value of the function when $$x = 0$$ .

What is the value of $$f(1)$$ for the function $$y = 7(5/4)^x$$ ?

$$f(1) = 7(5/4)^1 = 7 \times \frac{5}{4} = \frac{35}{4}$$ .

What is the effect of increasing the base of an exponential function?

Increasing the base of an exponential function increases the rate of growth or decay.

What is the domain of an exponential function?

The domain of an exponential function is all real numbers, represented as $$(-\text{∞}, \text{∞})$$ .

What is the range of an exponential function?

The range of an exponential function is all positive real numbers, represented as $$(0, \text{∞})$$ .

How can you determine if a function is exponential from a table of values?

If the ratio of consecutive outputs is constant, the function is exponential.

What is the horizontal asymptote of an exponential decay function?

The horizontal asymptote of an exponential decay function is the line $$y = 0$$ .

Exponential Functions Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What is the y-intercept of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

Front

What is the difference between exponential growth and exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

How do you identify exponential growth from a graph?

Back

Tags

CCSS.HSF-IF.C.7E

5.

FLASHCARD QUESTION

Front

How do you identify exponential decay from a graph?

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

7.

FLASHCARD QUESTION

Front

What does the base of an exponential function represent?

Back

Tags

CCSS.HSF-IF.C.8B

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