The following tables show the values of linear , quadratic, and exponential functions for various values of . Indicate which fun
ction type corresponds to each table. Justify your choice. с у Y X у 6 1 1 71 56 6 1 14 9 2 9 2 28 N N 28 12 3 3 14 14 3 15 4 4 4 7 56 21 D B
1 answer:
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Answer:
Step-by-step explanation:
From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)
Therefore,
x = -4 ⇒ x + 4 = 0
x = -1 ⇒ x + 1 = 0
x = 3 ⇒ x - 3 = 0
Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor
So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial
If we multiply the constants, this will give us the y-intercept:
⇒ 4² x 1 x -3 = -48
From inspection of the graph, the y-intercept is -6
So to get from -48 to -6 we need to multiply -48 by 1/8
Therefore, n = 1/8