answersLogoWhite

0


Best Answer

f(x) = x2 + 4x - 5 ( a minimum since the coefficient of x2 is positive, the parabola opens upward)

f'(x) = 2x + 4

f''(x) = 2

At a maximum or minimum, f'(x) = 0

2x + 4 = 0

2x = -4

x = -2

f(-2) = 4 - 8 - 5 = -9

The stationary point occurs at (-2, -9)

f''(-2) = 2

The second derivative is positive at this point, so the gradient is becoming more positive. This means that before this point the gradient was negative and after this point the gradient is positive, so the point is a minimum.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Does The Function X2 plus 4x-5 equals 0 Have A Minimum Or Maximum?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Y equals 8x times x plus 15 maximum and minimum?

There is no maximum but te minimum is 15.


What are the minimum and maximum values for the objective function C equals 3x plus y?

The answer will depend on the ranges for x and y. If the ranges are not restricted, then C can have any value.


What is the maximum or minimum value of y equals x to the power of 2 minus 4x plus 7?

It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.


What is the maxima or minima for the line y equals mx plus c?

A straight line has no turning points and so no local maxima or minima. The line has a maximum at + infinity and a minimum at - infinity if m > 0 and conversely if m < 0. When m = 0, the line is horizontal and so has no maximum or minimum. ([Alternatively, every point on the line is simultaneously a maximum and a minimum.]


If n equals 108 and p equals 0.24 find the minimum usual value with mean of -2 std deviation and maximum usual value of mean plus 2 std deviation?

5 7


What is potassium's minimum oxidation number?

Potassium's minimum oxidation number is zero.Its maximum is plus one.


What is the minimum and maximum points of y equals x2-4x plus 5 all over x-2?

(x-2) is not a factor of the numerator and so y tends to minus infinity as x approaches 2 from below. As x approaches 2 from above, y tends to plus infinity. There are, therefore, no maximum or minimum values for y.


What is the function y equals ax2 plus bx plus c?

It is a quadratic function which represents a parabola.


What is the maximum function value of f(x)-(x-3)2?

The question is not clear. A function is defined by an equation and that requires an equals sign. there is no equals sign in the question. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "divided by", "equals".


Is f of x equals x plus x plus 5 a linear function?

Only if it's a function.


Is y equals x plus 5 a function?

Yes.


Is y equals -3x plus 3 a function?

yes