What are the correct coordinates for the function `f\left(x\right)\ =-2x+3` with inputs of `-4,\ -2,\ 0,\ 1,\ 2`
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To find the coordinates for the function f(x) = -2x + 3, we need to substitute the input values of -4, -2, 0, 1, and 2 into the equation and solve for the corresponding output values.
Let's start by substituting -4 into the equation:
f(-4) = -2(-4) + 3
= 8 + 3
= 11
So, when x = -4, the output value is 11. The coordinate is (-4, 11).
Next, let's substitute -2 into the equation:
f(-2) = -2(-2) + 3
= 4 + 3
= 7
So, when x = -2, the output value is 7. The coordinate is (-2, 7).
Substituting 0 into the equation:
f(0) = -2(0) + 3
= 0 + 3
= 3
So, when x = 0, the output value is 3. The coordinate is (0, 3).
Substituting 1 into the equation:
f(1) = -2(1) + 3
= -2 + 3
= 1
So, when x = 1, the output value is 1. The coordinate is (1, 1).
Finally, substituting 2 into the equation:
f(2) = -2(2) + 3
= -4 + 3
= -1
So, when x = 2, the output value is -1. The coordinate is (2, -1).
The correct coordinates for the function f(x) = -2x + 3 with inputs of -4, -2, 0, 1, and 2 are: (-4, 11), (-2, 7), (0, 3), (1, 1), and (2, -1).