Question

Sketch the graph of a function that satisfies the given criteria. f(1) = 0, f^ prime...

Sketch the graph of a function that satisfies the given criteria.

f(1) = 0, f^ prime (-1)=f^ prime (2)=f^ prime (10)=0 lim x infty f(x)=1 lim x 6 f(x)=- infty f^ prime (x)<0 ort(- infty,-1),(2,7),(10, infty) f^ prime (x)>0 on(-1,2),(7,10) f^ prime prime (x)>0 on(- infty,1),(13, infty) f^ prime prime (x)<0 on (1,7),(7,13)

Homework Answers

Answer #1

When x= 1; y = 0

There is a horizontal tangents at x = -1, 2, 10

There is a horizontal asymptote at y = 1.

There is a vertical asymptote at x = 7.

The function decreases at the given intervals.

The function increases for the given intervals.

At the given interval the function is concave up.

The function is concave down in this interval.

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