Which of the following could be found in a table of values for the function, g(x) = cos(-1.5x) - 1?

Answer 1

To create a table of values for the given function g(x) = cos(-1.5x) - 1, we can choose some values of x and substitute them into the equation to find the corresponding values of g(x).

Let's choose x = -2, -1, 0, 1, and 2.

For x = -2:
g(-2) = cos(-1.5(-2)) - 1
= cos(3) - 1
≈ -0.98999 - 1
≈ -1.98999

For x = -1:
g(-1) = cos(-1.5(-1)) - 1
= cos(1.5) - 1
≈ 0.07073 - 1
≈ -0.92927

For x = 0:
g(0) = cos(-1.5(0)) - 1
= cos(0) - 1
≈ 1 - 1
= 0

For x = 1:
g(1) = cos(-1.5(1)) - 1
= cos(-1.5) - 1
≈ -0.07073 - 1
≈ -1.07073

For x = 2:
g(2) = cos(-1.5(2)) - 1
= cos(-3) - 1
≈ -0.98999 - 1
≈ -1.98999

Therefore, the values of g(x) for the given function when x = -2, -1, 0, 1, and 2 are approximately -1.98999, -0.92927, 0, -1.07073, and -1.98999. These values could be found in a table of values for the function g(x) = cos(-1.5x) - 1.