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

Algebra
Tutor: None Selected Time limit: 1 Day

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

Thank you for the opportunity to help you with your question!

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.


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 14th, 2015

Examples

Linear

Has an x with no exponent.

y = 10x + 9

y = ½x

5x + 9y = 2

Quadratic

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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