How do you identify equations as exponential growth, exponential decay, linear growth or linear decay $f (x) = 4 {(\frac{3}{2})}^{x}$ $f(x) = 4 (3/2)^x$ ?

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How do you identify equations as exponential growth, exponential decay, linear growth or linear decay $f (x) = 4 {(\frac{3}{2})}^{x}$ $f(x) = 4 (3/2)^x$ ?

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Answer 1 · 2018-06-28T09:59:03

Growth is an increasing function, decay is a decreasing one.
Exponential means that the function contains and exponent, and linear means that a graph of the equation is a straight line.

Explanation:

For the expression given we have an exponent, so the result will be exponential. Because the exponent is applied to a positive value ( $\frac{3}{2}$ $3/2$ ) it will be a growth function, increasing as "x" increases.

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How do you identify equations as exponential growth, exponential decay, linear growth or linear decay $f (x) = 4 {(\frac{3}{2})}^{x}$ $f(x) = 4 (3/2)^x$ ?

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Explanation:

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How do you identify equations as exponential growth, exponential decay, linear growth or linear decay $f (x) = 4 {(\frac{3}{2})}^{x}$ $f(x) = 4 (3/2)^x$ ?