Question

Determine whether function whose values are given in the table below could be linear or exponential.

x= 0 1 2 3 4

h(x)= 24 20 16 12 8

Then, find a possible formula for this function.

h(x)=

Step 1

**Linear function:**

Any mathematical function is said to be in linear form, if the function is of first degree.

The general form of liner function in *x* is *h*(*x*) = *a* + *bx* where *a* and *b* are constants.

**Exponential function:**

Any mathematical function is said to be in exponential form, if the variable appears as the exponent of a constant.

The general form of exponential function in *x* is, *h*(*x*) = *a *× *b ^{x}* where

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