Question

-1

0
1
2
3
y = g(x) Average Ratio of
Rate of consecutive
Change outputs
-4.5
-3
-1.5
0
1.5
Determine whether the function is linear, exponential, or neither

Answer 1

linear

Explanation:

First differences of the y-values for the consecutive x-values are ...

-3 -(-4.5) = 1.5

-1.5 -(-3) = 1.5

0 -(-1.5) = 1.5

1.5 -0 = 1.5

The first differences are constant, so the function is linear.

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Since we know the function is linear, there's no real point in computing the ratios of successive outputs. In any event, we know it is not constant. The ratio with 0 as a numerator will be 0; the ratio with 0 as a denominator will be undefined.