University:
Boston University
Course:
CAS MA 123 | Calculus I
Academic year:

2021
Views:

66

Pages:

2
Author:

Nesbyenvkk

Circuit Training - Precal/Trig Review NO CALCULATOR Directions: Beginning in cell #1, read the question and show the work necessary to answer it (attach separate sheets if necessary). Search for your answer and call that cell #2. Continue in this manner until you complete the circuit. Note: The last question will not have a match! #1 Find the slope of the line which connects the point (a, b) to the point (3b, 4a). (Hint: be) m = (4a - b) / (3b - a) Answer: (3a - b) / (3b - a) #12 h(x) = (2x - 1) / (x^2 - x - 2) as x grows infinitely large, the value of approaches what number? Answer: 2 1/2 (horizontal asymptote) #15 Q2 #75 For (5pi) / 3 <= A <= pi, sinA = (sqrt(3)) / 2. Find sin(2A). Answer: sin(2A) = 2sinAcosA #10 f(x) = g^(-1)(x) and g(x) = (2x - 1) / (x + 3); f(5) = ? Answer: 16 #13 The expression 3x^2 is used to calculate the slope of any point on the graph of the function g(x) = x^3 - 1. Write the equation of the line tangent to g(x) at its x-intercept. Answer: y = 3x - 3 #24 The graph of y = 2 sin(3x - pi/2) has an amplitude of ___, a period of ___, and a phase shift of ___ to the right/left (right/left when compared to the graph of y = sinx). Answer: Amplitude = 2, Period = 2pi/3, Phase Shift = pi/6 (right) #5 Find the average rate of change of w(x) = 3x^2 + 1 over the interval [-1, 4]. Answer: 9 #9 If f(x) = ln(x) and g(x) = e^(x+1), find f(g(2)) - g(f(2)). Answer: 3 #21 log10 25 + log10 4 = Answer: 2 #18 State the domain of y = ln(x^2 - 4) Answer: (-infinity, -2) U (2, infinity) #2 The linear function f(x) is parallel to the line y = 2x - 7 and passes through the point (1, 0). What is f(4)? Answer: f(4) = 6