please answer all the questions correctly with a small explanation for each question :)

QUESTION 1

x'+3132x+7 Let g be the function 9(1): cm x ' Applying the [VT to g on the interval [2r 1] guarantees a solution in [2r 1] to which of the following equations? 5 ' 0 gm 2 6.644 ' O 900213.23 ' 0 gm 2 22.2236 ' 0 gm : 79.5351 Graph of r Graph of 9 Based on the graphs of function f and function g, determine the value of In W 1 -1 X ' 0 Cannot be determined based on the given information 2x2 - x+1 What is lim X--00 2x*+5x + 12 01 O2 0-00The graph of the function f has a tangent line at the point (3, 1'} Ihat passes lhmugh the point {3, 2)_ What is f 13}? Z O 1.5 C O 0.5 5 4 3 hi 2 9 X 2 3 4 5 6 7 Use the graph to find [f(x) . (g(x) + 2)]' when x = 0. O -1 01 0 3 Cannot be determinedFunctions f, g, and h are functions of x. Use the table to find lim g(x). x-2 X 1.9 1.99 1.999 2 2.001 2.01 f 2 0.5 0.1 0 0.1 0.5 g -1 0.2 -0.01 |undefined | 0.01 -0.2 h -2 -1 -0.5 0 -1 -3 O Undefined O0 O2 O Cannot be determined based on the given informationSolve for the value(s) of constant d that will make h(x) continuous at x = 2. h(x) = (x-d)