Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. If necessary, round answers to two decimal places.
-$$f ( x ) = x ^ { 2 } + 2 x - 3 ; ( - 5,5 )$$
A) local maximum at (1, -4)
B) local maximum at (-1, 4)
C) local minimum at (1, 4)
D) local minimum at (-1, -4)

Question

Quizplus · Accepted Answer

The function $f(x) = x^2 + 2x - 3$ is a parabola opening upwards since the coefficient of $x^2$ is positive. The vertex of this parabola, given by $(-b/2a, f(-b/2a))$, where $a = 1$ and $b = 2$, is at $(-1, -4)$. This point is a local minimum because the parabola opens upwards.

Use a Graphing Utility to Graph the Function Over the Indicated