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The function f(x) is graphed on the coordinate plane.

What is f(−2)?

The function f(x) is graphed on the coordinate plane. What is f(−2)?-example-1
User Dmitryvim
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1 Answer

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Explanation:

as the description says, the line is the function f(x).

that means for any value we pick for x the function calculated the corresponding value of y.

and all the fitting pairs of x- and y-values are represented by the line.

we pick an x-value (on the x-axis) and go straight up or down until we hit the line and go horizontally (left or right) to the y-axis and read the y-value there.

f(-2) means that x = -2.

so, we go on the x-axis 2 units left of the origin (0, 0), which is the point, where the x- and y-axis intercept (in the middle of the graph).

2 units left of that point is x = -2.

from there we go down to the line, and from there again right to the y-axis. what do we read there ? -2

so, y = -2.

and that is the same as

f(-2) = -2

FYI : to get y = 2, we have to go even further right than what the graph shows. it looks like y = 2 for x = 6.

so,

f(6) = 2

User Bohoo
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