Graphically, what is the relationship between the various antiderivatives of f(x

ID: 2892018 • Letter: G

Question

Graphically, what is the relationship between the various antiderivatives of f(x)=3x^2

Complete the following statements below:

If f is either zero or undefined, then F has ________________________.

If f is positive on an interval, then F is __________________________.

If f is negative on an interval, then F is __________________________.

If f changes sign at x=a, then (a, F(a)) ___________________________.

If f is increasing on an interval, then F is _________________________.

If f is decreasing on an interval, then F is ________________________.

If f has a local extrema at x=a, then (a, F(a)) _____________________.

If f is either zero or undefined, then F has.... critical point

If f is positive on an interval, then F is...... increasing

If f is negative on an interval, then F is........ decreasing

If f changes sign at x=a, then (a, F(a)) ........inflection point

If f is increasing on an interval, then F is ........concave up

If f is decreasing on an interval, then F is........concave down

If f has a local extrema at x=a, then (a, F(a))........ maxima or minima

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