Find the critical point of the function f(x) = x2 + 2x - 3.

(1, 4)

(-1, -4)

(-1, 4)

(1, -4)

(-1, -4)

Step-by-step explanation:

The critical point is the point where the slope is 0 or undefined.

This is a parabola (quadratic), so there wont be any undefined points, only a critical point where slope is 0.

We need to take the derivative of the function and set it equal to 0 to find the x coordinate of the critical point. Then we plug in that x point into original equation to find the y coordinate.

Lets see the power rule of differentiation before we differentiate this function.

Power Rule:  

Also, differentiation a constant is always 0!!

Now, differentiating:

Now, we set equal to 0 and find x:

Now, we find y:

So,

x = -1

y = -4

The critical point is  (-1, -4)

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.