For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value theorem on the interval [0 comma 3 ][0,3]? f(x)equals=left brace start 3 by 3 matrix 1st row 1st column negative 5 2nd column 3rd column x equals 0 2nd row 1st column negative x squared plus 3 x plus a 2nd column 3rd column 0 less than x less than 2 3rd row 1st column mx plus b 2nd column 3rd column 2 less than or equals x less than or equals 3 endmatrix −5 x=0 −x2+3x+a 0

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true