MATH 116 Exam with correct answers 100% 2026

MATH 116 Exam with correct answers 100% 2026 What is the difference between the point-slope and slope-intercept form of an equation? - Correct Answer - Point-slope form is y - y1 = m(x - x1) - Slope-intercept form is y = mx + b What is the difference between the x-intercept and the y-intercept? - Correct Answer - The x-intercept is the coordinate where the line crosses the x-axis; (x,0) - The y-intercept is the coordinate where the line crosses the y-axis; (0,y) What are the useful rules for exponential functions, (natural) logarithms, and "e"? - Correct Answer - a^-u = 1 / (a^u) = (1 / a)^u - ln(e^x) = x - e^ln(x) = x What are the different ways of solving limits that originally result in 0/0? - Correct Answer - Factor the top function and cancel out anything that matches with the denominator - If it is too complicated to simply factor, then perform long division; the answer that you get at the top of the process is the new function that should be used in calculating the limit What is the method for factoring perfect cubic polynomials? - Correct Answer - (a^3 - b^3) = (a-b)(a^2 + ab + b^2) - For example, (x^3 - 1) = (x-1)(x^2 + x + 1) What is the method for long division? - Correct Answer - Put the denominator on the outside of the bracket, and the numerator on the inside - Only take into account the leading polynomial of the function on the outside of the bracket - Decide how many times that polynomial can go into the leading What is the difference between the point-slope and slope-intercept form of an equation? - Correct Answer - Point-slope form is y - y1 = m(x - x1) - Slope-intercept form is y = mx + b What is the difference between the x-intercept and the y-intercept? - Correct Answer - The x-intercept is the coordinate where the line crosses the x-axis; (x,0) - The y-intercept is the coordinate where the line crosses the y-axis; (0,y) What are the useful rules for exponential functions, (natural) logarithms, and "e"? - Correct Answer - a^-u = 1 / (a^u) = (1 / a)^u - ln(e^x) = x - e^ln(x) = x What are the different ways of solving limits that originally result in 0/0? - Correct Answer - Factor the top function and cancel out anything that matches with the denominator - If it is too complicated to simply factor, then perform long division; the answer that you get at the top of the process is the new function that should be used in calculating the limit What is the method for factoring perfect cubic polynomials? - Correct Answer - (a^3 - b^3) = (a-b)(a^2 + ab + b^2) - For example, (x^3 - 1) = (x-1)(x^2 + x + 1) What is the method for long division? - Correct Answer - Put the denominator on the outside of the bracket, and the numerator on the inside - Only take into account the leading polynomial of the function on the outside of the bracket - Decide how many times that polynomial cannctions? -