Question

For the function described by the equation f(x) = -3x^2 + 5x - 2, if the independent variable x is chosen from the set {-3, -2, -1, 0, 1}, which of the following would be a corresponding dependent value?

A) -14
B) -6
C) 10
D) 0

Answer 1

For the function f(x) = -3x^2 + 5x - 2, with x chosen from the set {-3, -2, -1, 0, 1}, the corresponding dependent value is -14. Therefore, the correct option is (A) -14.

Step-by-step explanation:

Given function f(x) = -3x^2 + 5x - 2.

Substitute each x value from the set {-3, -2, -1, 0, 1} into the function to find the corresponding dependent values.

For x = -3: f(-3) = -3(-3)^2 + 5(-3) - 2 = -14

For x = -2: f(-2) = -3(-2)^2 + 5(-2) - 2 = -6

For x = -1: f(-1) = -3(-1)^2 + 5(-1) - 2 = 0

For x = 0: f(0) = -3(0)^2 + 5(0) - 2 = -2

For x = 1: f(1) = -3(1)^2 + 5(1) - 2 = 0

The corresponding dependent value for x = -3 is -14, matching option (A).