Consider the function. ?(?) = −1/ (?^2+?−6)a) Determine the key features of the function: i) domain and range ii) intercepts iii) equations of any asymptotes =iv) intervals where the function is increasing and intervals where the function is decreasing

. Consider the function shown on the graph. a) What type of function might it be (linear, quadratic, cubic, quartic, quintic, etc.)? 10 How do you know? Text b) What is the sign of the leading coefficient? How do you know? Text c) Use the given points to determine an equation, in factored form, for the function. Text -10- y 2 4 X R

+ 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…

Solve for question 2 please