The figure shows graphs of f, f ', f '', and f '''. identify each curve.

f --> d

f' --> c

f'' --> b

f''' --> a

Step-by-step explanation:

The derivative of a function is another function which values are the slope of the line tangent to the curve at the point .

So the derivative at some point will be:

The curve has a steady decreasing rate when is close zero and has one local maximum and one local minimum where the slope of the tangent line should be zero. The curve shows this behaviour so we can say that is the derivative of .

The curve reach a minimum point when so the derivative should be zero at that point, with a decrasing rate for (negative derivative) and an increasing rate for (positive derivative). The curve shows this behaviour so we can say that is the derivative of .

The curve is constantly increasing, so its derivative is going to be always positive and has an inflection point in where the slope of the tangent line should be zero, then is the derivative of

Recapitulating:

Then:

f --> d

f' --> c

f'' --> b

f''' --> a

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.