antoniagreenwood24 antoniagreenwood24
  • 10-09-2020
  • Mathematics
contestada

-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

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 10-09-2020

Answer:

  linear

Step-by-step 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.

__

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.

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