Find the distance between the points
Find the midpoint of the line segment joining
Find the x- and y-intercepts of the graph of the equation
In Exercises 4 and 5, find the slope and intercepts of the line and sketch the graph.
Find an equation in standard form of the circle with center
Find the center and radius of the circle with equation
In Exercises 8 and 9, find the slope–intercept form of the line satisfying the given condition.
The line has slope 3 and passes through
The line is parallel to
In Exercises 10 and 11, find the domain of each function.
Let
Let
f(g(x))
g(f(x))
f(f(x))
g(g(x))
Let
Find f(1), f(3), and f(4).
Sketch the graph of
Let
Use transformations on
Use the Rational Zeros Test to list all possible rational zeros of
In Exercises 18–21, graph each function.
Let
Suppose that y varies as the square root of x and that
A drug manufactured by a pharmaceutical company is sold in bulk at a price of $150 per unit. The total production cost (in dollars) for x units in one week is
How many units of the drug must be manufactured and sold in a week to maximize the profit? What is the maximum profit?
The profit (in dollars) for a product is given by
where x is the number of units produced and sold. One breakeven point occurs when