Mathematics

Question

Which Of the following represnt the range of the function y=-1/2(x+10)^2+14?
1) y>=-5 2)y>=10 3) y<=7 4) y<=14, Explain plz

1 Answer

  • Answer:

    The answer is option is (4) y ≤ 14

    Step-by-step explanation:

    The given function, y = - 0.5[tex](x + 10)^{2} + 14[/tex]

    We have to find the range of this function. If we take the first part of the function alone we can see that it is always negative or zero. So the maximum value of the function is 14.

    This happens when we make the first part zero and for that we put x = -10.

    So the maximum value of the function occurs at x = -10 and that value is y = 14.

    Hence the range is y ≤ 14.

    The answer is option is (4) y ≤ 14