\fUse the graph below to fill in the missing values. 4 4 f(0) = f(x) =0, 1= f '(0 ) = f '(x) =0, 1=\fLet f '(-5)Find the inverse function of t} = I + 5. Specify the domain for f 1(1) f 1(1) = Domain of f 1(1) using inter-ml notation: :] Let HI} = (I + 502 Find a domain on 1which f is dnE-td-dne and non-decreasing. Find the inverse of f restricted to this domain I 1(1):: The graph of y = f(x) is shown. Sketch the graph of y = f (x). 4 -6 -5 -4 -3 -2 -1 1 4 6Plot the inverse of the function shown on the grid below. -6 -7 -6 -5 -4 -3 -5 O -6 -7 -6 -5 -4 -3 -101 - 2 Given: f(x) = 3x + 4 Find the domain and range of f(@) and the function's inverse, f-(x). Domain = f ' (x) = Range =In 2001 _. a school population was 1333. By 2003' the population had grown to 2336. 11 How much did the population grow between the year 2331 and 2333? 2] How long did it take the population to grow from 1333 students to 2333 students? 3] What is the average population growth per yea r? 4] What was the population in the year 2333? 51 Find an equation for the populationy P, of the sohoolt years after 2333. P oi Using your equation, predict the population of the school in 2311. The phone company Iii-Mobile has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used. If a customer uses a GE, the monthly cost will be 552. If the customer uses 4|} GE, the monthly cost will be 5131]. A} Find an equation in the form 3; = m: + EL. where 3: is the number of GB of data used in a month and y is the total monthly cost of the B-Mobile plan. Answer: 5,- = C] B]: Use your equation to find the total monthly cost if 21 GB are used. Answer: If 22 GB are used, the total cost will bel l dollars. Match each graph with its equation. b V 1= a. black - V y = 2x- +1 b. blue 1=-1'-1 C. red y= -2x3 - 1 d. green V e. orangeFor the parabola graphed below, identify.r its vertex, axis of symmetry: and state if it opens upwards or downwards. The vertex of the parabola 15' l The axis of symmetry is C] Graph x] 2 $2 + 1D: + 24 below by first selecting the correct shape, clicking the vertex, then clicking an xintercept. Graph f(x) = 2x- + 16x + 24 below by first selecting the correct shape, clicking the vertex, then clicking an x-intercept. 10 -9 -8 -7 -6 -5 -4 -3 -2 4\fA box without a lid is constructed from a 34 inch by 34 inch piece of cardboard by cutting : in. squares from each corner and folding up the sides. a] Determine the volume of the box as a function of the variable I. m} = la] Use a graphing calculator to approximate the values of I that produce a volume of 2?I53.5625. Give: to- at least one decimal place, the largest reasonable answer. A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs 53 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of 535 per order as well as 5? per shoe pair. The retail store sells 47'50 shoe pairs each 1fear. Find a function that models the total imrentor'_-..r costs as a function of I the number of shoe pairs in each order from the manufacturer