For each pair of functions, determine where the zeros of the origin function occur and state the equations of the vertical asymptotes c the reciprocal function, if possible. a) f(x) = x- 6, g(x) %3D x- 6 1 b) f(x) = 3x + 4, g(x) %3D %3D 3x + 4 1 o f(x) = x- 2x- 15, g(x) %3D 2-2x 15

+ 3. An amusement park is planning a new roller coaster. Part of it is to have the shape of the cosine function. The high and low points of this part differ by 24 meters and cover a horizontal distance of 40 meters from the high point to the low point. The low point is 6 meters below ground in a tunnel. Let y repre- sent the number of meters the track is above or below ground, and let x repre- sent the number of meters the track is horizontally from the high point. a. Sketch this situation. b. The equation y = 12 cos (4.5x) + 6 models the situation when x and y are in meters and 4.5 is in degrees per meter. Rewrite y = 12 cos (4.5x) + 6 as an equation for which the coefficient of x is in radians per meter. c. What is the length of a vertical support girder at the high point? At a dis- tance of 6 meters horizontally from the high point? At a distance of 20 meters horizontally from the high point? d. Measured horizontally, how far from the high point does the roller coaster enter the…

Find all intercepts of the following function. 1 g(x)= x-4 y-intercept: |0. x-intercept: and y-intercept: x-intercept: y-intercept: [0. х-intercept:

Consider the following function. g(x) = x² + 6x + 5 Step 3 of 4: Find two points on the graph of the parabola other than the vertex and x-intercepts.