MY PFPPPPPPPPPPPPPPPPPPPPPP WHAT HAPPENED!???
2 answers:
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You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
Thus, the function is one to one.
For y=x or
Hence this function has an inverse.
For the function y=x² or f(x)=x².
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
This function has no inverse over the entire real numbers.