Question

Y=2(x-3)^(3)-16 Which attributes does the function not exhibit?

Answer 1

The given function does not have a y-intercept at year 0 and does not have a consistent increasing/decreasing behavior.

Step-by-step explanation:

The given function is y = 2(x-3)^(3) - 16. To determine the attributes it does not exhibit, we can analyze its behavior.

1. Y-intercept: To find the y-intercept, we set x = 0. Substituting x = 0 into the function, we get y = 2(0-3)^(3) - 16 = 2(-3)^(3) - 16 = 2(-27) - 16 = -54 - 16 = -70. Therefore, the function does not exhibit a y-intercept at year 0.
2. Increasing/Decreasing: The given function does not exhibit any restrictions on its increasing/decreasing behavior, meaning it can be increasing or decreasing at different intervals.

Therefore, the function does not exhibit a y-intercept at year 0 and does not have a consistent increasing/decreasing behavior.