Exam 1: Functions and Graphs

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

Solve the problem. -In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference P(x) = R(x) - C(x) Represents the total profit for producing x widgets. Given and C(x) = 3x + 13, find the Equation for P(x).

Provide an appropriate response. -

Use the REGRESSION feature on a graphing calculator. -Efficiency experts rate employees according to job performance and attitude. The results for several randomly selected employees are given below. Find the regression line which can be used to predict performance rating if attitude rating is known.

Write an equation of the line with the indicated slope and y intercept. -Slope = 3, y intercept = -6

Provide an appropriate response. -

Provide an appropriate response. - what is the definition of g(x), the function whose graph is obtained by shifting graph right 5 units and down 1 unit?

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

Solve the problem. -

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure. -

Solve the problem. -If $1250 is invested at a rate of compounded monthly, what is the balance after 10 years?

Solve the problem. -The point at which a company's costs equals its revenue is the break-even. C represents cost, in dollars, of x units of a product. R represents the revenue, in dollars, for the sale of x units. Find the number of units that must be produced And sold in order to break even.

Write an equation of the line with the indicated slope and y intercept. -Slope = 1; y intercept = 6

Solve for x to two decimal places (using a calculator). -

Use the properties of logarithms to solve. -

Solve the problem. -The function P, given by , gives the pressure, in atmospheres (atm), at a depth d, in feet, under the sea. Find the pressure at 200 feet. Round your answer to the nearest whole number.

Find the equation of any horizontal asymptote. -

Provide an appropriate response. -

Find the slope and y intercept of the graph of the equation. -

Use interval notation to write the solution set of the inequality. -