Find a formula for each function graphed.

	Enter a mathematical expression. 1	0 x 2
	Enter a mathematical expression. 2	2 x 5

	Enter a mathematical expression. 3	-1 x 0
	Enter a mathematical expression. 4	0 x 2

You are given a function f(x) and numbers L, x₀, and > 0. Find the open interval about x₀ on which the inequality |f(x) - L| < holds.

Enter an exact number.

1 < x <

Enter an exact number.

2

Give the largest value for > 0 such that for all x satisfying 0 < |x - x₀| < the inequality |f(x) - L| < holds.
=

Enter an exact number.

3

Which of the following statements about the function y = f(x) graphed here are true? (Select all that apply.)

(a) About how accurately must the interior diameter of a 45 meter high cylindrical storage tank be measured to calculate the tank's volume to within 1% of its true value?
within

Enter a number.

1%
(b) About how accurately must the tank's exterior diameter be measured to calculate the amount of paint it will take to paint the side of the tank to within 5% of the true amount?
within

Enter a number.

2%

Consider the function graphed below.

Identify the inflection point of the function.
x₁ =

Enter an exact number.

1
Identify the local maximum of the function.
x₂ =

Enter a number.

2
Identify the local minima of the function.
x₃ =

Enter a number.

3
Identify intervals on which the function is concave up. (Select all that apply.)

Identify intervals on which the function is concave down. (Select all that apply.)

Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 6.

Enter a number.

1