Find a function of the form

y=asin(kx)+c or y=acos(kx)+c whose graph matches this one:

  y = 2sin((π/7)x)

Step-by-step explanation:

The graph goes through (0, 0) and has a range of ±2. This matches a sine function with an amplitude (A) of 2 and a vertical offset (C) of zero.

The half-period is 7, so the value of k is such that 7k = π, or k = π/7.

The desired function is y = 2·sin((π/7)x).

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )