Prove that the following is one- to one and onto:  f(x) =x3+2

Select the following functions that are bijective. f3: R → R, f(x) = 14 f₂: R → R, f₂(x) 2 f₁:R → R, f₁(x) = x + x + x + x + 4 f4: R → R, f4(x) = -{ = x x², if x 20 X, if x <0

a, b, c, and d.

[X1 + x3 X2 - X3 [2x1-x21 7. Determine [T]B_if T and B =

Which of the following function f: R X R → R is not onto?   1 2x - 3   2 3x3 - x   3 x2-2x   4 f(x) = x2- 5x + 5

For each of the following parts, write an equation based on the description and then solve the equation. Be sure to define a variable to represent the value of the unknown number before writing each equation. a. Some number is equal to one-fourth of the sum of 55.3, 108.5, and 138. What is the number? 13.825 Preview b. 325% of some number is 59.2. What is the number? 19.24 Preview

Determine whether the function f : R → R given by f (x) = 4x + 6 is a bijective function.