##### How do you find an equation from a function (linear, exponential, quadratic)?

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Please answer soon I have been very confused for this entire unit and we have a test worth 50% of our grade tomorrow.  I need HELP!!!!

Thank you so so so much

Oct 14th, 2015

Three very important types of equations.

• Linear equations in slope-intercept form: y=mx+b
• Exponential equations of the form: y=a(b)x
• Quadratic equations in standard form: y=ax2+bx+c

Using Differences to Determine the Model

By finding the differences between the dependent values, we can determine the degree of the model for the data.

·  If the first difference is the same value, the model will be linear.

·  If the second difference is the same value, the model will be quadratic.

·  If the number of times the difference has been taken exceeds five, the model may be exponential or some other special equation.

Oct 14th, 2015

Examples

Linear

Has an x with no exponent.

y = 10x + 9

y = ½x

5x + 9y = 2

Has an x2 in the equation.

5y = 2x2 + 8x – 6

2y = 4x2 + 10

5x2 + 10y = 50

Exponential

Has an x as the exponent.

y = 6x + 7

y = 102x

2x + 4y = 20

Oct 14th, 2015

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Oct 14th, 2015
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Oct 14th, 2015
Oct 21st, 2017
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