Find the slope of the tangent line to the graph of f at the given point.f(x) =at ( 36, 6)A.B. 12C. 3D.Question 2 of 205.0/ 5.0 PointsUse properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.A. 16B. does not existC. -16D. 0Question 3 of 200.0/ 5.0 PointsUse properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.(2×2+ 2x + 3)2A. -9B. 9C. does not existD. 1Question 4 of 200.0/ 5.0 PointsComplete the table for the function and find the indicated limit.A. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1B. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0C. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1D. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1Question 5 of 200.0/ 5.0 PointsUse the definition of continuity to determine whether f is continuous at a.f(x) = 5×4- 9×3+ x – 7a = 7A. Not continuousB. ContinuousQuestion 6 of 200.0/ 5.0 PointsFind the slope of the tangent line to the graph of f at the given point.f(x) = x2+ 5x at (4, 36)A. 13B. 21C. 9D. 3Question 7 of 200.0/ 5.0 PointsUse the definition of continuity to determine whether f is continuous at a.f(x) =a = 4A. Not continuousB. ContinuousQuestion 8 of 200.0/ 5.0 PointsGraph the function. Then use your graph to find the indicated limit. f(x) = 7ex,f(x)A. 0B. 7C. 1D. -7Question 9 of 200.0/ 5.0 PointsThe graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist.a.f(x)b. f(1)A. a.f(x) = 1b. f(1) = 0B. a.f(x) does not existb. f(1) = 2C. a.f(x) = 2b. f(1) = 2D. a.f(x) = 2b. f(1) = 1Question 10 of 200.0/ 5.0 PointsChoose the table which contains the best values of x for finding the requested limit of the given function.A.B.C.D.Question 11 of 205.0/ 5.0 PointsChoose the table which contains the best values of x for finding the requested limit of the given function.(x2+ 8x – 2)A.B.C.D.Question 12 of 200.0/ 5.0 PointsDetermine for what numbers, if any, the given function is discontinuous.f(x) =A. 5B. NoneC. 0D. -5, 5Question 13 of 200.0/ 5.0 PointsComplete the table for the function and find the indicated limit.A. -1.22843; -1.20298; -1.20030; -1.19970; -1.19699; -1.16858 limit = -1.20B. -2.18529; -2.10895; -2.10090; -2.09910; -2.09096; -2.00574 limit = -2.10C. -4.09476; -4.00995; -4.00100; -3.99900; -3.98995; -3.89526 limit = -4.0D. 4.09476; 4.00995; 4.00100; 3.99900; 3.98995; 3.89526 limit = 4.0Question 14 of 200.0/ 5.0 PointsThe function f(x) = x3describes the volume of a cube, f(x), in cubic inches, whose length, width, and height each measure x inches. If x is changing, find the average rate of change of the volume with respect to x as x changes from 1 inches to 1.1 inches.A. 2.33 cubic inches per inchB. -3.31 cubic inches per inchC. 23.31 cubic inches per inchD. 3.31 cubic inches per inchQuestion 15 of 200.0/ 5.0 PointsThe graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist.a.f(x)b. f(3)A. a.f(x) = 3b. f(3) = 5B. a.f(x) = 5b. f(3) = 5C. a.f(x) = 4b. f(3) does not existD. a.f(x) does not existb. f(3) = 5Question 16 of 200.0/ 5.0 PointsUse the definition of continuity to determine whether f is continuous at a.f(x) =a = -5A. Not continuousB. ContinuousQuestion 17 of 200.0/ 5.0 PointsUse the graph and the viewing rectangle shown below the graph to find the indicated limit.( x2- 2)[-6, 6, 1] by [-6, 6, 1]A.(x2- 2) = -6B.(x2- 2) = 2C.(x2- 2) = -2D.(x2- 2) = 6Question 18 of 205.0/ 5.0 PointsUse properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.5A. -5B. 0C. 5D. 2Question 19 of 200.0/ 5.0 PointsFind the derivative of f at x. That is, find f ‘(x). f(x) = 7x + 8; x = 5A. 40B. 8C. 35D. 7Question 20 of 200.0/ 5.0 PointsGraph the function. Then use your graph to find the indicated limit.f(x) =,f(x)A. 6B. -2C. -6D. 2