Question 21 For the function /(x) = 5 .9*, calculate the following function values. Give your answers as integers or fractions only. ( - 2) = (0) =Question 22 The graph above is a transformation of the function f() = x Write an equation for the function graphed above. g(z) =O Question 23 4TT if 0 3 , then tan (0) = cot(0) = sec(0) = csc(0) = Give exact values. No decimals allowed!Question 25 Consider the function graphed at right. Join multiple intervals with a union. A) Give the interval(5) where the function is increasing B) Give the interval(s) where the function is decreasing 2345 6 $ $ 10 () Give the interval(s) where the function is constant. D) Give the domain of the function using interval notation. E) Give the range of the function using interval notation.Question 27 Let a = (1, - 2) and b = (1, - 6) Find the angle between the vector, in degrees. Give your answer to 2 decimal places. degreesQuestion 28 State the equation of the axis of symmetry and vertex of the parabola shown on the graph. 5 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 State the equation of the axis of symmetry: State the vertex of the parabola as an ordered pair:O Question 29 > If d = 4 . then tan (0) = cot (0) = sec(0) = csc(0) = Give exact values. No decimals allowed!Question 30 Note: Enter DNE for any slope that does not exist. Consider the following two lines: Line 1: y = 10 -z Line 2: y = - x + 6 The slope of Line 1 is: m = The slope of Line 2 is: m = Finally, which of the following is true? | Select an answer v Consider the following two lines: Line 3: y = 6x - 4 Line 4: 61 - y = 30 The slope of Line 3 is: m = The slope of Line 4 is: m = Finally, which of the following is true? | Select an answer v Consider the following two lines: Line 5: y = 23 Line 6: y = 13 The slope of Line 5 is: m = The slope of Line 6 is: m = Finally, which of the following is true? |Select an answer v Consider the following two lines: 1 Line 7: 0 = 57+ 3 Line 8: y = - 70-1 The slope of Line 7 is: m = The slope of Line 8 is: m = Finally, which of the following is true? | Select an answer vQuestion 31 Use the elimination method to find all solutions of the system: ( x2 - 3y = 1 x' - y = 11 The solution(s) of the system is/are. Question 32 Find the equation of the line with slope = -3 and passing through (10,8). Write your equation in point-slope formy - y1 = m(@ - $1) AND slope-intercept forms. point-slope form: slope-intercept form:Question 34 Solve eat = 23. The exact solution is c = The solution rounded to 4 decimal places is c =O Question 36 Find all real solutions of the equation (j - 1) = 25 Write your answers as a list, using commas to separate answers.Question 37 The number of bacteria in a culture is given by the function n(t) = 990-0 25t where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population Your answer is 96 (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t=4? Your answer isQuestion 38 Given the equation y = 8 sin(2(@ - 6)) + 4 The amplitude is: The period is: The horizontal shift is: units to the Select an answer v The equation of the midline is:Question 39 The cost C(@), where is the number of miles driven, of renting a car for a day is $51 plus $0.45 per mile. What is the slope of the linear function and what are its units? Select an answer - select the correct units What is the y-intercept and and what are its units? Select an answer v - select the correct units What is the equation of the linear function, C(a)?. Question 40 Given the vector u = ( - 4, 3), find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0"