What is the y-intercept of the function $$f(x) = 3 \times 2^x$$ ?

The y-intercept is 3, since $$f(0) = 3 \times 2^0 = 3$$ .

What is the exponential equation if the y-intercept is 2 and the ratio is 3?

The exponential equation is $$f(x) = 2 \times 3^x$$ .

How do you determine the exponential function from a table of values?

To determine the exponential function from a table of values, identify the y-intercept (value when x=0) and the ratio (how y changes as x increases). Use these to form the equation $$f(x) = a \times b^x$$ .

What is the value of 'a' in the function $$f(x) = 5 \times 2^x$$ ?

The value of 'a' is 5, which represents the y-intercept.

What does it mean if an exponential function has a base less than 1?

If an exponential function has a base less than 1, it indicates exponential decay, meaning the function's value decreases as 'x' increases.

What is the exponential function for a y-intercept of 5 and a ratio of 2?

The exponential function is $$f(x) = 5 \times 2^x$$ .

How can you identify an exponential function from a graph?

An exponential function can be identified from a graph by its characteristic curve that rises or falls sharply, showing rapid growth or decay.

What is the significance of the y-intercept in an exponential function?

The y-intercept indicates the initial value of the function when x = 0, providing a starting point for the exponential growth or decay.

If an exponential function is given as $$f(x) = 4 \times 3^x$$ , what is the ratio?

The ratio is 3, which is the base of the exponential function.

Expoential Function Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

3.

FLASHCARD QUESTION

Front

What does the base 'b' in an exponential function represent?

Back

The base 'b' in an exponential function represents the growth or decay factor. If b > 1, the function represents exponential growth; if 0 < b < 1, it represents exponential decay.

4.

FLASHCARD QUESTION

Front

How do you find the y-intercept of an exponential function?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the ratio in an exponential function?

Back

The ratio in an exponential function refers to the factor by which the function's value changes as 'x' increases by 1. It is equal to the base 'b'.

7.

FLASHCARD QUESTION

Front

If the ratio is 2, what is the base of the exponential function?

Back

If the ratio is 2, the base of the exponential function is 2.

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