Final Exam Review PDF

## Final Exam Review ### Write an equation for the line described. 1. Passes through (2, 2) with slope -3/7 - y - 2 =-3/7(x - 2) - y - 2 = -3/7x + 6/7 - y = -3/7x + 20/7 ### Find the slope and the y-intercept of the line. 2. 2x + 5y = 19 - 5y = -2x + 19 - y = -2/5x + 19/5 - There...

## Final Exam Review ### Write an equation for the line described. 1. Passes through (2, 2) with slope -3/7 - y - 2 =-3/7(x - 2) - y - 2 = -3/7x + 6/7 - y = -3/7x + 20/7 ### Find the slope and the y-intercept of the line. 2. 2x + 5y = 19 - 5y = -2x + 19 - y = -2/5x + 19/5 - Therefore, the slope is -2/5 and the y-intercept is 19/5. ### Find the domain and range. 3. y = x² - 5 - Domain: (-∞, ∞) - Range: [-5, ∞) ### Graph the piecewise-defined function. 4. f(x) = {-2, x ≤ 0 {x + 1, x > 0 - The graph has two lines. - The first line is horizontal and passes through y = -2 for x ≤ 0. - The second line has a slope of 1 and passes through the points (0, 1), (1, 2), (2, 3), (3, 4). ### Solve the problem. 5. If f(x) = -6x + 4 and g(x) = 2x + 7, find g(f(x)). - g(f(x)) = 2(-6x + 4) + 7 - g(f(x)) = -12x + 8 + 7 - g(f(x)) = -12x + 15