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slavikrds [6]
2 years ago
8

PLEASE HELP!!!! f(x)= {____for____ {____for____

Mathematics
1 answer:
hammer [34]2 years ago
8 0

9514 1404 393

Answer:

  f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0

Step-by-step explanation:

The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.

The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.

Then the piecewise definition is ...

  f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}

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(Y+3)(y^2-3y+9)<br><br> A. Y^3+27<br> B. Y^3-27<br> C. Y^3-6y^2+27<br> D. Y^3+6y^2+27
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There are two ways of solving this problem:

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(y+3)(y^2-3y+9)=y(y^2-3y+9)+3(y^2-3y+9)

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After we add the positive and negative 3y^2 and 9y, they will cancel out and be gone entirely:

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