# find the values of b such that the function has the given maximum or minimum value. f(x) = -x^2+bx-75, Maximum value: 25

Question
Functions
find the values of b such that the function has the given maximum or minimum value. f(x) = -x^2+bx-75, Maximum value: 25

2021-01-14
1.Write the equation in standard form. f(x) = -x^2+bx-75 = -(x^2-bx)-75 = -(x^2-bx+(b^2/4)-(b^2/4))-75 = -(x-b/2)^2-75+b^2/4 2.Use the maximum to find b. -75+b^2/4=25 b^2/4=100 b^2=400 b=+-20

### Relevant Questions

Find the absolute maximum and absolute minimum values of f on the given interval and state where those values occur: $$f(x)=x^{3}-3x^{2}-9x+25, [-5,10]$$
Find the absolute maximum and minimum values of f on the given interval.
$$f(x)=4x^{3}-6x^{2}-24x+9. [-2,3]$$
Find the absolute maximum and absolute minimum values of f on the given interval.
$$f(x)=x+\frac{4}{x},[0.2,8]$$
Find the absolute maximum and absolute minimum values of f on the given interval.
$$f(x)=5+54x-2x^{3}, [0,4]$$
Consider the function $$f(x)=2x^{3}+6x^{2}-90x+8, [-5,4]$$
find the absolute minimum value of this function.
find the absolute maximum value of this function.
Find the absolute maximum value and the absolute minimum value, if any, of the function.
$$f(x)=8x-\frac{9}{x}$$
Find the absolute maximum and absolute minimum values of f over the interval. $$f(x)=(\frac{4}{x})+\ln(x^{2}), 1\leq x\leq 4$$
$$g(x)=-x^{2}+2x+6$$
The function $$f(x)=4-7x^{4}$$ has an absolute maximum value of ? and this occurs at x equals ?
Consider the function $$f(x)=2x^{3}-6x^{2}-18x+9$$ on the interval [-2,4].