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Can someone help me ASAP!!!

Can someone help me ASAP!!!-example-1

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Answer:

f(x) = {-x for x < 2; 2x-3 for x ≥ 2}

Explanation:

The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)

The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...

b = y -mx

b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)

Then the slope-intercept equation for the red line is ...

y = 2x -3

That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.

Putting these parts together, we get ...


f(x)=\left\{\begin{array}{cc}-x&amp;\text{if $x<2$}\\2x-3&amp;\text{if $x\ge2$}\end{array}\right.

User Bartosz Pelikan
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