College Algebra - Putting It All Together |51 Questions| With Correct Answers.

Implied domain {Ans: When a function is represented by a formula, it's domain, unless otherwise stated, is the set of all valid inputs (x-values) that are defined or make sense in the formula. f(x) = 1 / x + 4 Domain of f: {x| x not = -4}}Average rate of change of f from x1 to x2 {Ans: If (x1, y1) and (x2, y2) are distinct points on the graph of f, then the average rate of change from x1 to x2 equals y2 - y1 / x2 - x1. If f(x) = 3xsquared, then the average rate of change from x = 1 to x = 3 is 27 - 3 / 3 - 1 = 12 because f(3) = 27 and f(1) = 3. This means that, on average, f(x) increases by 12 units for each unit increases in x from 1 to 3.}Nonlinear function {Ans: A nonlinear function cannot be expressed in the form f(x) = mx + b. f(x) = root x + 1, g(x) = 4xcubed, and h(x) = x^1.01 + 2.}Finding intercepts {Ans: 1. To find x-intercepts, let y = 0 and solve for x. 2. To find y-intercepts, let