Topics to Math Study for Test 2

PART 2 – Wed in class
Without the use of a calculator:

Match any of the eight basic functions to its graph

Find the domain and range of any of the eight basic functions

Solve the quadratic equation by the square root property

Solve the quadratic equation by factoring

Solve the quadratic equation by completing the square

Use the discriminant to determine the nature of the solutions of the equation

Graph a given piece-wise defined function

Given an equation for any of the eight basic functions, determine how the graph has
changed from its original form and list any vertical or horizontal asymptotes

Given a quadratic equation, determine if the parabola opens up or down, determine the
line of symmetry, find the vertex, find the y-intercept, find the x-intercepts, plot the graph
(the most important thing here is to get the graph plotted – that is why you do everything
else before the plotting)

PART 2 – Fri in class
Using a calculator:

Determine if the given equation has an inverse. If it does, find the inverse. Write with
function notation.

Check to see if two functions are inverses. Explain your checking process.

Find the domain and range of a function and its inverse

Calculate combinations of functions: and possibly evaluate.

Calculate composite functions:

Solve the quadratic equation by using the quadratic formula

Given word problem involving an object that is launched into the air, determine the time
when the ball is at its max height, determine the max height, determine when it is at a
given height, determine when it is above or below a given height, determine when it will
hit the ground

Given a word problem scenario involving revenue and cost, write and solve an equation
for the profit, find the amount that maximizes the revenue.