Exam 2: Functions and Graphs

The amount of federal income tax an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.

Find the center and radius of the graph of the circle. The equation of the circle is written in general form.

Evaluate where and .

Find the value of x in the domain of for which .

The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1995, find a linear model (rounding the slope and intercept to 2 decimal places)that predicts the federal minimum wage for the year t . Use this model to predict in what year the federal minimum wage will exceed $5.80. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15

The fuel efficiency, in miles per gallon, for a certain midsize car at various speeds, in miles per hour, is given in the table below. Find a quadratic model for these data.

Find the x - and y -intercepts of the graph of the following equation.

Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: ; passing through

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.

Given , find .

Use the vertical line test to determine if the following graph is the graph of a function.

Find the difference quotient of .

The table below shows the velocities, in feet per second, of a ball that is thrown horizontally from the top of a 50 foot building and the distances, in feet, that it lands from the base of the building. Compute the linear regression equation for these data.

Determine for which scatter diagram, A or B , the coefficient of determination is closer to 1. Diagram A Diagram B

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.

Determine whether the graph of is symmetric with respect to the x -axis and/or the y -axis.

Given , find .

Use the vertical line test to determine if the following graph is the graph of a function.

Evaluate where and .

The fuel efficiency, in miles per gallon, for a certain midsize car at various speeds, in miles per hour, is given in the table below. Find a quadratic model for these data and use it to predict the fuel efficiency of this car when it is traveling at a speed of 40 mph. Do not round any values in your calculations but round the final answer to the nearest tenth.