Exam 2: Linear and Quadratic Functions

Determine the quadratic function whose graph is given. -The manufacturer of a CD player has found that the revenue R (in dollars) is R(p) = -5p2 + 1120p, when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, What is the maximum revenue to the nearest whole dollar?

Solve the problem. -The following scatter diagram shows heights (in inches) of children and their ages. $\text { Height (inches) }$ Age (years) What is the expected height range for a 2-year old child?

Match the graph to one of the listed functions. -

Determine the domain and the range of the function. - $f ( x ) = x ^ { 2 } - 4 x + 4$

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $|x|>-2$

Determine the quadratic function whose graph is given. -Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 60 feet of fencing To go around the garden, what dimensions will give him the maximum area in the garden?

Graph the function. State whether it is increasing, decreasing, or constant.. -h(x)=-5x+4

Solve the problem. -Suppose that f(x) = -x - 1 and g(x) = x - 14. (a) Solve f(x) > 0. (b) Solve g(x) > 0. (c) Solve f(x) ≤ g(x).

Solve the problem. -An open box is to be constructed from a square sheet of plastic by removing a square of side 2 inches from each corner, and then turning up the sides. If the box must have a volume of 242 cubic inches, find the length of one Side of the open box.

Use the slope and y-intercept to graph the linear function. -g(x)=-3x-1

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = 2 x ^ { 2 } - 6 x$

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $h ( x ) = x ^ { 2 } - 6 x + 34$

Solve the problem. -Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with a embroidery of a Great Pyrenees dog on the front. There are fixed costs of $690 to set up for production, and variable costs of $28 per jacket. Write An equation that can be used to determine the total cost, C(x), encountered by Marty's Company in producing x jackets, and use the equation to find the total cost of producing 121 jackets.

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } - 11$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = x ^ { 2 } + 4 x$

Solve the problem. -Identify the scatter diagram of the relation that appears linear.

Solve the problem. -The following data represents the number of employees at a company at the start of each year since the company began. month 1 2 3 4 5 6 7 number 3 172 403 571 823 1061 1194 Find the slope of the line of best fit for the data set and interpret it.

Solve the problem. -Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) < g(x).

Find the zero of the linear function. - $h ( x ) = - 4 x + 5$

Graph the function. State whether it is increasing, decreasing, or constant.. -h(x) = -4x - 3