Question

Let $f(x) = x^2 - 4x - 5$ and $F(x) = \int_0^x f(t) dt$. Find the critical points of $F$ and determine whether they are local minima or local maxima. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) local minima: local maxima: Find the point(s) of inflection of $F$. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) point(s) of inflection: Determine the intervals where $F$ is concave up and down. (Give your answer as an interval in the form $(\,)$. Use the symbol $\infty$ for infinity, $\cup$ for combining intervals, and an appropriate type of parenthesis "$(\,)$", "$[\,]$" depending on whether the interval is open or closed. Enter $\emptyset$ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) concave up on: concave down on:

          Let $f(x) = x^2 - 4x - 5$ and $F(x) = \int_0^x f(t) dt$.
Find the critical points of $F$ and determine whether they are local minima or local maxima.
(Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.)
local minima:
local maxima:
Find the point(s) of inflection of $F$.
(Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.)
point(s) of inflection:
Determine the intervals where $F$ is concave up and down.
(Give your answer as an interval in the form $(\,)$. Use the symbol $\infty$ for infinity, $\cup$ for combining intervals, and an appropriate type of parenthesis "$(\,)$", "$[\,]$" depending on whether the interval is open or closed. Enter $\emptyset$ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
concave up on:
concave down on:

$Let f(x) = x^2 - 4x - 5 and F(x) = ∫0^x f(t) dt. Find the critical points of F and determine whether they are local minima or local maxima. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) local minima: local maxima: Find the point(s) of inflection of F. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) point(s) of inflection: Determine the intervals where F is concave up and down. (Give your answer as an interval in the form ( ). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "( )", "[ ]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) concave up on: concave down on:$

Added by -Scar R.

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