  PRE-ALGEBRA
ALGEBRA 1
GEOMETRY
ALGEBRA 2
TRIGONOMETRY
PRE-CALCULUS
CALCULUS    ALGEBRA 1, 2012 PAGE: 589 SET: Exercises PROBLEM: 36
Please look in your text book for this problem Statement  Observe the table:

The ordered pair are .

Find the first differences of -values in the ordered pair.    Since the first differences are not all equal .

Hence the table of values does not represent a linear function.

Find the second differences of -values in the ordered pair.   Since, the second differences are not all equal,

Hence the table of values does not  represent a quadratic function.

Find the Ratios of the -values in the ordered pair and compare.    The ratios of successive -values are equal.

Therefore, the table of values can be modeled by an exponential function. Write an equation for the function.

The equation is in the form of .

The constant ratio is .

Therefore the exponential equation is .

Find the value of .

Let the ordered pair is . (Exponential equation) (Substitute in the equation) (Multiply) (Divide each sude by ) (Cancel common terms)

Write an equation. (Substitute in the eqation)

An equation that models the data is . The table of values represents an exponential function . TESTIMONIALS
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