Exam 2: Linear and Quadratic Functions

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results. Productivity Dexterity \begin{tabular}{l|l|l|l|l|l|l|l|l|l} 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \\ \hline 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75 \end{tabular}

Solve the problem. -A rock falls from a tower that is 117.6 m high. As it is falling, its height is given by the formula h = 117.6 - 4.9t2. How many seconds will it take for the rock to hit the ground (h=0)?

Determine whether the given function is linear or nonlinear. - x y=f(x) 3 12 5 20 7 28 9 36

Solve the problem. -In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.15 as soon as you get in the taxi, to which a charge of $1.90 per mile is added. Find an equation that can be used to determine the cost, C(x), of an x-mile taxi ride, and use this equation to find the cost of a 4-mile taxi ride.

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - $f ( x ) = x ^ { 2 } + 6 x + 5$

Solve the inequality. - $x ^ { 2 } - 5 x \leq 0$

Solve the problem. -A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The distance s (in feet) of the ball from the ground after t seconds is After how $s = 144 + 128 t - 16 t ^ { 2 }$ many seconds does the ball strike the ground?

Solve the problem. -Northwest Molded molds plastic handles which cost $0.20 per handle to mold. The fixed cost to run the molding machine is $5,253 per week. If the company sells the handles for $3.20 each, how many handles must Be molded and sold weekly to break even?

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = 2 x ^ { 2 } - 4 x - 1$

Solve the problem. -In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.40 as soon as you get in the taxi, to which a charge of $1.90 per mile is added. Find an equation that can be used to determine the cost, C(x), of an x-mile taxi ride.

Solve the problem. -Consider the quadratic model h(t) = -16t2 + 40t + 50 for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much Time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = 2 ( x + 1 ) ^ { 2 } + 15 ( x + 1 ) + 25$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = 3 x ^ { 2 } + 2 x - 6$

Graph the function. State whether it is increasing, decreasing, or constant.. - g(x)=4x-6

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - $f(x)=6 x^{2}+12 x-3$

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=+6x+23 g(x)=23

Solve the problem. -You have 336 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

Solve the problem. - $3 + 6 i$ is a zero of a quadratic function with real coefficients. Find the other zero.

Determine the slope and y-intercept of the function. -F(x) = 1

Solve the problem. -If an object is dropped from a tower, then the velocity, V (in feet per second), of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Find V as a linear function of t, and use this Function to evaluate V(7.4), the velocity of the object at time t = 7.4 seconds.