Test 3 Dual Enrollment Pre Cal Multiple Choice |18 Questions| With Correct Answers.

Which of the following statements is not true? A. To verify that two​ one-to-one functions, f and​ g, are inverses of each​ other, we must show that (f of g)(x)=(g of f)(x)=x. B. If a function f has an inverse​ function, then we can find the inverse function by replacing​ f(x) with​ y, interchanging the variables x and​ y, and solving for x. C. The function f^-1 exists if and only if the function f is one-to-one. D. The graph of f^-1 is a reflection of the graph of f about the line y=x. {Ans: B. If a function f has an inverse​ function, then we can find the inverse function by replacing​ f(x) with​ y, interchanging the variables x and​ y, and solving for x.}Which of the following statements is true about the quadratic function f(x)=ax^2 + bx + c? A. The constant c determines whether the graph opens up or down. B. The constants a​, b​, and c cannot ever be fractions. C. The constants a​, b​, and c must be real numbers with a always positive. D. The constants a​, b​, and c must be real numbers with a not ever equal to zero. {Ans: