What is the decay rate in the function $$y = 36(0.86)^x$$ ?

The decay rate is 14%, as it is calculated as $$1 - 0.86 = 0.14$$ .

What is the growth rate in the function $$y = 50(1.12)^x$$ ?

The growth rate is 12%, as it is calculated as $$1.12 - 1 = 0.12$$ .

What is the general form of an exponential function?

The general form is $$y = a(b)^x$$ , where 'a' is the initial value, 'b' is the base, and 'x' is the exponent.

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

The y-intercept is 2, which is the value of 'a' in the function.

How do you graph an exponential function?

To graph an exponential function, plot the y-intercept, calculate a few points by substituting values for 'x', and draw a smooth curve through the points.

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

Changing the base 'b' affects the steepness of the graph. A larger base results in a steeper curve for growth, while a smaller base (but greater than 0) results in a less steep curve.

What is the relationship between exponential functions and their inverses?

The inverse of an exponential function is a logarithmic function. For example, the inverse of $$y = b^x$$ is $$x = log_b(y)$$ .

What is the domain and range of an exponential function?

The domain of an exponential function is all real numbers (x ∈ ℝ), and the range is positive real numbers (y > 0).

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

If the ratio of consecutive outputs (y-values) is constant, the function is exponential.

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, which is crucial for understanding the function's behavior.

Math 1 EOC Review #7 (Exponential Functions) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

Back

The 'a' represents the initial value or the y-intercept of the function.

4.

FLASHCARD QUESTION

Front

How do you identify an exponential growth function?

Back

5.

FLASHCARD QUESTION

Front

How do you identify an exponential decay function?

Back

6.

FLASHCARD QUESTION

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7.

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