If f(x) = m x and f(0) = 0, what is f(1)?

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Multiple Choice

If f(x) = m x and f(0) = 0, what is f(1)?

Explanation:
The main idea is that f(x) = m x is a straight-line relationship where the output is simply m times the input. So, evaluating at x = 1 gives f(1) = m × 1 = m. The condition f(0) = 0 just confirms the line passes through the origin, which matches this form. Therefore, f(1) equals m. In general, it’s not fixed to 0, 1, or -m; it’s the value m because you multiply the input 1 by the slope m.

The main idea is that f(x) = m x is a straight-line relationship where the output is simply m times the input. So, evaluating at x = 1 gives f(1) = m × 1 = m. The condition f(0) = 0 just confirms the line passes through the origin, which matches this form. Therefore, f(1) equals m. In general, it’s not fixed to 0, 1, or -m; it’s the value m because you multiply the input 1 by the slope m.

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