Chapter One Flashcards
Variables
Use the terms domain, range, independent variable, and dependent variable to explain how a function relates one variable to another variable
Does the independent variable of a function belong to the domain or range? Does the dependent variable belong to the domain or range?
Explain how the vertical line test is used to detect functions
Which statement about a function is true? (i) For each value of x in the domain, there corresponds one value of y; (ii) for each value of y in the range, there corresponds one value of x. Explain
Explain how to find the domain of f ∘ g if you know the domain and range of f and g.
In each exercise, a function and an interval of its independent variable are given. The endpoints of the interval are associated with the points P and Q on the graph of the function.
Sketch a graph of the function and the secant line through P and Q.
In each exercise, a function and an interval of its independent variable are given. The endpoints of the interval are associated with the points P and Q on the graph of the function.
Find the slope of the secant line in part (a), and interpret your answer in terms of an average rate of change over the interval. Include units in your answer.
Polynomials
coefficients
degree
zeros or roots
Rational functions
Algebraic functions
Exponential functions
