Exponential vs Linear Functions Graphs

What type of function does the table represent?

• Linear

• Exponential

• Neither

Answer explanation

Which statement is true about the graphs of exponential functions?

• The graphs of exponential functions never exceed the graphs of linear and quadratic functions

• The graphs of exponential functions always exceed the graphs of linear and quadratic functions

• The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions

• The graphs of exponential functions eventually exceed the graphs of linear functions but not quadratic functions

Answer explanation

An example is shown to prove the statement

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H(x) is linear

G(x) is quadratic

F(x) is exponential

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It is possible for the exponential function to not be greatest at the start

However, at high x-values on the right of the graph, the exponential function will be greater than other functions

Exponential functions have the equation y = a(b)^x. Which two statements are true about these functions?

• The dependent variable changes the same amount for equal intervals of the independent variable

• The y variable changes the same amount for equal intervals of the x variable

• The dependent variable changes the same percent rate for equal intervals of the independent variable

• The y variable changes the same percent rate for equal intervals of the x variable

Answer explanation

Y = dependent variable

X = independent variable

Which table represents an exponential function?

(anchor chart picture with arrow reminds you to divide y values backwards)

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Answer explanation

This is the only exponential function from the options

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Divide y values backwards

This will produce same result

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243 /81 = 3

81 / 27 = 3

27 / 9 = 3

9 / 3 = 3

Which scatter plot BEST represents a model of exponential growth?

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A student is saving money using two methods. Which statement is true?

• Method 1 represents a linear function, while Method 2 represents an exponential function.

• Both methods represent exponential functions.

• Method 1 represents an exponential function, while Method 2 represents a linear function.

• Both methods represent linear functions.

Think carefully

• Both scenarios are best represented by linear functions.

• Both scenarios are best represented by exponential functions.

• Scenario 1 is best represented by an exponential function, while Scenario 2 is best represented by a linear function.

• Scenario 1 is best represented by a linear function, while Scenario 2 is best represented by an exponential function.

Which equation that matches this graph?

Which table matches this graph?

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Which equation matches this table?