Linear or Exponential?

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What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

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What is an exponential function?

Back

An exponential function is a function in which an independent variable is in the exponent. It has the form y = a*b^x, where a is a constant, b is the base, and x is the exponent.

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How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change, meaning the difference between consecutive y-values is the same for equal intervals of x.

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How can you identify an exponential function from a table of values?

Back

An exponential function will have a constant ratio of change, meaning the ratio of consecutive y-values is the same for equal intervals of x.

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What does the graph of a linear function look like?

Back

The graph of a linear function is a straight line that can slope upwards or downwards.

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What does the graph of an exponential function look like?

Back

The graph of an exponential function shows rapid growth or decay, typically curving upwards or downwards.

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What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b.

Front

What is the general form of an exponential equation?

Back

The general form of an exponential equation is y = a*b^x.

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What is the slope in a linear function?

Back

The slope (m) in a linear function represents the rate of change of y with respect to x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept (b) in a linear function is the value of y when x = 0.