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Linear, exponential and quadratic functions

Exponential function

Linear function

Quadratic function

What kind of function is shown in the graph?

1/6

rightanswer

Straight line so it's a linear function!

Find the equation for this linear function.

2/6

Equation y=2x+3

Equationy=2x+15

Equationy=5x

To find a linear equation:

rightanswer

Which function is represented in this table of values?

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Exponential function

Quadratic function

Linear function

If it is an exponential function: - the graph will not be a straight line. - the first difference is not the same - the second difference is not the same. but y2 divided by y1, etc will give you the same value!

If it is a quadratic function: - the graph will not be a straight line. - the first difference is not the same - the second difference is the same!

If it is a linear function y = ax + b - the graph will be a straight line - first difference (below) will be the same

rightanswer

It's a quadratic function!

4/6

Determine the equation represented by this table of value

To find a quadratic equation:

rightanswer

Ex. Using (2, -1) *The final equation would be the same using other coordinate.

Find the equation represented in this table of values.Then use the equation, if x = 0, what is the corresponding y-value.

5/6

Equation: y = 22.5x-3.5when x = 0. y=3.5

Equation: y = 26 * 1.35^xwhen x = 0, y=26

Equation: y=7.1 x^2when x = 0, y= 0

Find the equation represented in this table of values.

6/6

To find a linear equation:

To find a quadratic equation:

To find an exponential equation:

It's an exponential function

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