Exam 1: Functions and Graphs

Use the REGRESSION feature on a graphing calculator. -The use of bottled water in the United States has shown a steady increase in recent years. The table shows the annual per capita consumption for the years 1995 - 2001. With x being the years since 1995, find the linear function that represents this data. Round your answer to two decimal Places.

Use point-by-point plotting to sketch the graph of the equation. -

Graph the function. -

Provide an appropriate response. -For f(t) = 3 - 5t, find

Solve the equation graphically to four decimal places. -

Determine the domain of the function. -f(x) = - 7x + 9

Solve the problem. -An initial investment of $12,000 is invested for 2 years in an account that earns 4% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

Determine whether there is a maximum or minimum value for the given function, and find that value. -

Provide an appropriate response. -Find the vertex and the maximum or minimum of the quadratic function by first writing f in standard form. State the range of f and find the intercepts of f .

Write an equation of the line with the indicated slope and y intercept. -

Find the function value. -Given that

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(41, -3), (5, -2), (5, 0), (9, 2), (21, 4)}

Provide an appropriate response. -The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Solve the problem. -Suppose that $2200 is invested at 3% interest, compounded semiannually. Find the function for the amount of money after t years.

Use a calculator to evaluate the expression. Round the result to five decimal places. -ln 1097

Use the REGRESSION feature on a graphing calculator. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use linear regression to find a linear function that predicts a student's course grade as a function of the number of hours Spent in lab.

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? -

Provide an appropriate response. -For f(t) = 3t + 2 and g(t) = 2 - find 4f(3) - g(-3) + g(0).

Use the REGRESSION feature on a graphing calculator. -

Determine whether the function is linear, constant, or neither -y - 12 = 0