Find the domain and range of the function graphed below. O -5 -4 -3 42 -1 1 2 4 5 Domain: Range:The point P(4, 4) lies on the curve y = + 2. If Q is the point (3:, x/E + 2), find the slope of the secant line PQ for the following values of 3:. If a: = 4.1, the slope of PQ is: l:] and if a: = 4.01, the slope of PQ is: :] and if m = 3.9, the slope of PC) is: [: and if a: = 3.99, the slope of PQ is: :] Based on the above results, guess the slope of the tangent line to the curve at P(4, 4). l: The point P(4, 28) lies on the curve 3; = :c' | a: + 8. If Q is the point (1333' + a: l 8), fi slope of the secant line PQ for the following values of 51:. If a: = 4.1, the slope of PC) is: and if :1: = 4.01, the slope of PQ is: and if m = 3.9, the slope of P62 is: and if cc 2 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4, 28). A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 23 ftfs. Its height in feet after t seconds is given by y = 23t 17t2. A. Find the average velocity for the time period beginning when t=1 and lasting NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=1. [: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 21 ft/s. Its height in feet after t seconds is given by y = 21t 29t2. A. Find the average velocity for the time period beginning when t=3 and lasting .01 s: .005 s: .002 s: .001 5: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instantaneous velocity when t=3. C] For each slope below, enter the value correct to four decimal places. f($2) ail) 932 331 the graph of aw) that connects the points 331 = 4 and Let f(:z:) = 2111(m). Using the formula, m = , find the slope of the secant line on Let _ a: = 3.93: 7.9 . Find the equation of the secant line on the graph of f(:c) between 231 = 8 and 332 = 16. Write your answer in mm + b format. Let p(:1;) = 5.21:2. Use a calculator or a graphing program to find the slope of the tangent line to the point (m,p(m)) when m = 2. Give the answer to 3 places