What is the y-intercept of the function $$y = 5 \times 2^x$$ ?

The y-intercept is the value of $$y$$ when $$x = 0$$ . For this function, it is $$y = 5 \times 2^0 = 5$$ .

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 growth function?

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

What is the range of an exponential decay function?

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

True or False: The function $$y = 3^x + 2$$ is an exponential function.

True. It is an exponential function because it has the form $$f(x) = a \times b^x$$ .

What does the graph of an exponential growth function look like?

The graph of an exponential growth function rises steeply as $$x$$ increases, starting from a positive y-intercept.

What does the graph of an exponential decay function look like?

The graph of an exponential decay function decreases rapidly as $$x$$ increases, approaching but never reaching the x-axis.

How can you determine if a function is linear or exponential?

You can determine if a function is linear or exponential by checking if the rate of change is constant (linear) or if it increases/decreases by a constant factor (exponential).

What is the significance of the exponent in an exponential function?

The exponent in an exponential function determines how quickly the function grows or decays, influencing the shape of the graph.

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 does the base of an exponential function represent?

Back

The base of an exponential function determines the rate of growth or decay. If the base is greater than 1, the function represents exponential growth; if the base is between 0 and 1, it represents exponential decay.

3.

FLASHCARD QUESTION

Front

What is the general form of an exponential growth function?

Back

4.

FLASHCARD QUESTION

Front

What is the general form of an exponential decay function?

Back

5.

FLASHCARD QUESTION

Front

How do you identify exponential growth from an equation?

Back

6.

FLASHCARD QUESTION

Front

How do you identify exponential decay from an equation?

Back

7.

FLASHCARD QUESTION

Front

Back

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