Unformatted text preview:

Math 110 Final Exam Fall 2017 Key EXAM A x k x k x n x n f x c x n d x k x n 1 Identify the vertical asymptote s for the function a x k x n b x k 2 Solve the given equation for the variable x Give exact answer ln M 6x 3 a e3 M 6 b e3 M 6 c 3e M 6 d 3e M 6 3 Identify the function that has a horizontal asymptote at y 0 a f x 6 x a 4 x p b f x 4 x a 6 x p c f x 6 x a 6 x p d not enough information 4 Mark buys one coffee and four donuts for a total of 12 Linda buys two coffees and three donuts for a total of 12 Choose the best strategy to determine the cost of a donut c Solve the system x 4y 12 2x 3y 12 b Solve the system x 2y 12 4x 3y 12 a Solve the equation x 4y 2x 3y 5 An investment of 3600 earns an annual interest rate of 4 compounded continuously How long will it take for the investment to grow to a value of 7200 a t 6 Suppose log m expression 2 find the exact value of the given 4 log n 100 and log w d t log 2 0 04 ln 2 4 ln 2 0 04 log 2 t t b c 4 d Solve the equation 3x 7y 24 log m n w3 b 48 a 60 c 5 d 5 1 Math 110 Final Exam Fall 2017 Key EXAM A 7 Basic transformations are applied to the graph of the original function y f x as shown below Original graph of y f x Transformation graph of y f x Identify the formula of the transformation graph of y f x c y f x 1 b y f x 1 a y f x 1 2 2 8 Choose the statement that best describes the function with the given graph 2 d y f x 1 2 a Polynomial function b Quadratic function c Exponential function d Rational function 9 The graph of the quadratic function f x ax2 bx c is shown below b positive c zero d not enough information The value of b2 4ac is a negative 2 Math 110 Final Exam Fall 2017 Key EXAM A 10 The graph of a polynomial function of degree 3 is shown below Determine the function formula for the graph b 2 x 1 2 x 1 2 x 1 2 x 1 f x x 3 f x x 3 f x x 3 a c 11 Find the radius of the circle with equation x2 y2 14x 18y 6 0 x2 14x 49 y2 18y 91 124 radius 124 Give exact answer f x x 3 d 12 Find the slope of the line with equation 3 x y 3x 3y 7x 5 3y 4x 5 5 y 3 4 3 slope x 4 3 7x 5 13 A ball is launched vertically upward from the top of a platform 5 feet tall with an 3 Math 110 Final Exam Fall 2017 Key EXAM A initial velocity of 96 feet per second The height h in feet of the ball above the ground after t seconds is h 5 96t 16t2 What is the maximum height reached by the ball max height occurs when t 3 96 2 16 5 288 144 149 max height 5 96 3 16 3 2 14 Write the equation of the line that is parallel to the line 24x 4y 8 0 and passes through the point 7 2 4y 24x 8 y 6x 2 slope 6 desired line y 2 6 x 7 y 6x 44 15 Construct an equation for the circle shown below where point C is the center of the circle 4 Math 110 Final Exam Fall 2017 Key EXAM A C h k Q 1 4 P 3 8 center point 1 3 2 4 8 2 6 2 radius 3 2 r 2 equation x 2 2 y 6 8 6 2 5 2 5 16 Find the solution for the given system of equations Give exact answer 4 24x 20y 32 6x 5y 8 6 24x 18y 108 4x 3y 18 38y 76 y 2 4x 3 2 You must show work that supports your answer 18 4x 12 solution x 3 y 2 x 3 17 Simplify the given expression Write answer in factored form reduced to lowest terms using only positive exponents 5 Math 110 Final Exam Fall 2017 Key EXAM A 3 2 9x 6y5 y 7x4 9y12 x10 3 2 3 2 9y7 y5 x4x6 27 y18 x15 18 Find all solutions to the equation Give exact answer x x 1 x2 x 2 6x x x 2 x2 2x x 1 6x 0 x2 7x 1 0 7 49 4 1 x 2 x 1 7 45 6x x 2 2 19 Determine the interval s where the graph of the given function is above the x axis Give answer using interval notation 6 Math 110 Final Exam Fall 2017 Key EXAM A 9 x x 5 x 11 f x 11 9 x x2 5x 66 5 9 solution 11 5 9 20 Solve the inequality Give answer using interval notation 2x 3 5 5 2x 3 5 2 2x 8 1 x 4 solution 1 4 7


View Full Document

UNC-Chapel Hill MATH 110 - Final Exam

Download Final Exam
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view Final Exam and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Final Exam and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?