Subjects algebra

Evaluate Linear A258A7

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Question: ok it says that: $y = 2x - 2$ and the graph is like: $x: -2, -1, 0, 1, 2$ but there is no y graph underneath it it says $f(x)$
1. **State the problem:** We are given the function $y = 2x - 2$ and a set of $x$ values: $-2, -1, 0, 1, 2$. We need to find the corresponding $y$ values or $f(x)$ values for these $x$ values. 2. **Formula used:** The function is $y = 2x - 2$. This means for each $x$, multiply by 2 and then subtract 2 to get $y$. 3. **Calculate $f(x)$ for each $x$:** - For $x = -2$: $$f(-2) = 2(-2) - 2 = -4 - 2 = -6$$ - For $x = -1$: $$f(-1) = 2(-1) - 2 = -2 - 2 = -4$$ - For $x = 0$: $$f(0) = 2(0) - 2 = 0 - 2 = -2$$ - For $x = 1$: $$f(1) = 2(1) - 2 = 2 - 2 = 0$$ - For $x = 2$: $$f(2) = 2(2) - 2 = 4 - 2 = 2$$ 4. **Summary:** The $f(x)$ values corresponding to $x = -2, -1, 0, 1, 2$ are $-6, -4, -2, 0, 2$ respectively. This completes the evaluation of the function at the given points.