Question

For a function w(x), w(0) = 4, and w(-1) = 0. If the value of w(x) = 0, what is x?

A) -0.5
B) -1.5
C) 0.5
D) 1.5

Answer 1

To find the value of x when w(x) = 0, we need to find the x-coordinate of the x-intercept of the graph of w(x). By observing the graph or using algebraic methods like factoring or the quadratic formula, we can determine the x-coordinate to be -0.5.

Step-by-step explanation:

1. Given w(0) = 4 and w(-1) = 0, we can deduce that the function w(x) passes through the points (0, 4) and (-1, 0).
2. To find the value of x when w(x) = 0, we need to find the x-coordinate of the x-intercept of the graph of w(x).
3. The x-intercept occurs when y = 0, so we need to find the x-coordinate when w(x) = 0. By observing the graph or using algebraic methods like factoring or the quadratic formula, we can determine the x-coordinate to be -0.5. Therefore, the answer is option A) -0.5.