Exam 1: Precalculus Review

State whether the following functions are even, odd or neither: A) B) C) D)

Solve the following equation for if : .

Find the interval over which the function is increasing.

Use the addition formula to compute exactly.

Determine whether the following functions are even, odd or neither: A) B) C) D)

Complete the statement: If and then,

Find the point on the line closest to the point . What is the distance between the two points?

Find the interval over which the function is increasing.

Find the minimum and maximum values of for satisfying and .

Referring to the figure, compute the value of .

Suppose that . What are the minimum and maximum possible values of ?

Find the point on the line closest to the origin. What is the distance between the two points?

What is the distance between the maximum point on the parabola and the minimum point on the parabola .

Referring to the figure, find the equation of the line containing the altitude from Point to side of the triangle. What is the -coordinate of the point on this line with ?

Let and . Calculate the composite functions and and determine their domains.

Find the constants and of the line with -intercept at , and which is perpendicular to the line .

Find the points of intersection of the graphs of and for .

Find the set of solutions to the inequality .

For which values of does the parabola have no real roots?

Find the smallest and the largest values of that satisfy each of the following inequalities: A) B)