ALG M3T1 Review

Front

What is the common ratio in an exponential function?

Back

The common ratio (b) in an exponential function is the factor by which the function's value changes for each unit increase in the independent variable (x).

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How do you find the y-intercept of a function?

Back

The y-intercept of a function is found by evaluating the function at x = 0. It represents the point where the graph intersects the y-axis.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x) for which the function is defined. For most functions, this includes all real numbers unless there are restrictions.

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Back

A represents vertical stretching or compression; C represents horizontal shifting; D represents vertical shifting.

Front

What is the significance of the base (b) in an exponential function?

Back

The base (b) determines the rate of growth or decay of the function. If b > 1, the function grows; if 0 < b < 1, the function decays.

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Back

Front

What does it mean if a function has a horizontal asymptote at y = k?

Back

It means that as x approaches positive or negative infinity, the function's value approaches the constant value k.

Front

What is the relationship between the common ratio and the growth factor in exponential functions?

Back

The common ratio is the same as the growth factor in exponential functions, indicating how much the function's value multiplies for each unit increase in x.

Front

How can you tell if a function is increasing or decreasing based on its base?

Back

If the base (b) is greater than 1, the function is increasing; if the base is between 0 and 1, the function is decreasing.