Question

Where does the function y=x³-3x
a) x= -1
b) x= 0
c) x= 1
d) x= 2

Answer 1

The function values for the given x-values are y = 2, y = 0, y = -2, and y = 2.

Step-by-step explanation:

The function y=x³-3x represents a polynomial function. To find the value of the function for each given x-value, substitute the x-values into the function:

• For x = -1: y = (-1) ³ - 3(-1) = -1 - (-3) = -1 + 3 = 2
• For x = 0: y = (0) ³ - 3(0) = 0 - 0 = 0
• For x = 1: y = (1) ³ - 3(1) = 1 - 3 = -2
• For x = 2: y = (2) ³ - 3(2) = 8 - 6 = 2

Therefore, the function values for the given x-values are:
a) x = -1: y = 2
b) x = 0: y = 0
c) x = 1: y = -2
d) x = 2: y = 2