The functions r and s are defined as follows. r (x)= -2x+2 s (x) =x +2 Find the value of r (s (2)). r(s (2)) = 1 XDetermine the interval (s) on which the function is (strictly) increasing. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. Click on "None" if applicable. OO,.. (0,0) [0,0] (0,0] [0,0) - DO None XKeith invested his savings in two investment funds. The $ 18,000 that he invested in Fund A returned a 6% profit. The amount that he invested in Fund B returned a 2% profit. How much did he invest in Fund B, if both funds together returned a 5% profit? Amount invested in Fund B: $ XFor each equation, determine whether its graph is symmetric with respect to the x-axis, the y-axis, and the origin. Check all symmetries that apply. (a) 6x- +25y-=86 X (b) y=6-x Symmetry Symmetry: O x-axis Ox-axis Dy-axis O y-axis O origin origin none of the above none of the above CheckOne hose can fill a small swimming pool in 75 minutes. A larger hose can fill the pool in 50 minutes. How long will it take the two hoses to fill the pool working together? Do not do any rounding. minutes X 5For each graph, choose the function that best describes it. (a) (Choose one) V (Choose one) (c) (d) (Choose one) (Choose one)Find the y-intercept(s) and x-intercept(s) of the graph of the following. y= x- 9 If there is more than one answer, separate them with commas. Click on "None" if applicable. O 0.0... None y-intercept(s) : X x -intercept(s) :Aldo is cooking a roast. The table below gives the temperature R () of the roast (in degrees Celsius), at a few times / (in minutes) after he removed it from the oven. Time t Temperature R (t) (minutes) ( .C) 0 184.3 20 140.3 30 109.3 50 51.3 60 28.3 (a) Find the average rate of change for the temperature from 0 minutes to 20 minutes. .C per minute (b) Find the average rate of change for the temperature from 30 minutes to 60 minutes. C per minute XBelow is the graph of y = x - Transform it to make it the graph of y= =_ x - 2. XSuppose that the function f is defined for all real numbers as follows. f(x) =