Corresponding characteristics of graphs of ƒ and ƒ'

Practice Questions

AP Calculus AB › Corresponding characteristics of graphs of ƒ and ƒ'

Questions

5

1

The function is a continuous, twice-differentiable functuon defined for all real numbers.

If the following are true:

Which function could be ?

2

A jogger leaves City at . His subsequent position, in feet, is given by the function:

$x(t) = 5t^{2} - 3t + 2$ ,

where is the time in minutes.

Find the acceleration of the jogger at minutes.

3

Find the critical numbers of the function,

$f(x)=\frac{1+x^2}{x}$

4

The speed of a car traveling on the highway is given by the following function of time:

Consider a second function:

What can we conclude about this second function?

5

A gun sends a bullet straight up with a launch velocity of 220 ft/s. It reaches a height of $s=220t-16t^2$ after seconds. What's the acceleration in $m/s^{2}$ of the block after it has been ejected?

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