From the table below, determine whether the data shows an exponential function. Explain why or why not.

x: 3, 1, - 1, - 3

y: 1, 2, 3, 4

(A) No; the domain values are at regular intervals and the range values have a common sum 1.

(B) No; the domain values are not at regular intervals.

(C) Yes; the domain values are at regular intervals and the range values have a common factor 2.

(D) Yes; the domain values are at regular intervals and the range values have a common sum 1.

Question

Mathematics

Kassandra Barber

3 April, 02:30

From the table below, determine whether the data shows an exponential function. Explain why or why not.

x: 3, 1, - 1, - 3

y: 1, 2, 3, 4

(A) No; the domain values are at regular intervals and the range values have a common sum 1.

(B) No; the domain values are not at regular intervals.

(C) Yes; the domain values are at regular intervals and the range values have a common factor 2.

(D) Yes; the domain values are at regular intervals and the range values have a common sum 1.

+2

Answers (1)

Know the Answer?

Gianni Parrish · Answer 1

X Δx y Δy

3 1

1 1 - 3 = - 2 2 2 - 1 = 1

-1 - 1 - 1 = - 2 3 3 - 2 = 1

-3 - 3 - (-1) = - 2 4 4 - 3 = 1

So, as you see y in increasing in regular constant intervals, when x also increases in regular constant intervals. = > Δy / Δx = constant.

That is the result of a linear function, not an exponential one.

So, the true statement is given by the option (A) No; the domain values are at regular intervals and the range values have a common sum 1.