Solve the problem.The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 3×2 – 12x + 32. Find the number of automobiles that must be produced to minimize the cost.

Find the range of the quadratic function.f(x) = -x2 + 10x – 6

Please make sure you have your whiteboard and calculator ready, as you may not leave to get them once you have started the exam. If you can see yourself ( face & hands) and your workspace ( whiteboard & calculator) in the recording window, proceed to question one. If not please adjust your camera accordingly, before proceeding to the test.  You are allowed to use a calculator throughout this test. Best wishes for a successful performance!

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. ( Do not leave any spaces between numbers and symbols. Do not write x= ) 10x = 4.99

Find the axis of symmetry of the parabola defined by the given quadratic function.f(x) = 11(x – 5)2 + 4

Find the axis of symmetry of the parabola defined by the given quadratic function.f(x) = 11(x – 2)2 + 7

Find the range of the quadratic function.f(x) = -x2 + 10x – 1

Solve the system by the substitution method.11x – y = 29y = x2 – 1

Solve the equation by expressing each side as a power of the same base and then equating exponents. Only write the numerical value of the answer ( not x=)9x + 7 = 27x – 7

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. Do not write x=.log5(x – 3) = 2