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Magazine Problem 1
Two functions \(f\) and \(g\) can be combined by the arithmetic operations of ________, ________, ________,and _________ to create new functions.
Problem 1
A relation that assigns to each element \(x\) from a set of inputs, or ________, exactly one element \(y\) in a set of outputs, or ________, is called a ________.
Problem 1
An ordered pair \( (a, b) \) is a __________ of an equation in \( x \) and \( y \) if the equation is true when \( a \) is substituted for \( x \), and \( b \) is substituted for \( y \).
Problem 1
If the composite functions \(f(g(x))\) and \(g(f(x))\) both equal \(x\), then the function \(g\) is the ________ function of \(f\).
Problem 1
Match each term with its definition. (a) \( x \)-axis (i) point of intersection of vertical axis and horizontal axis (b) \( y \)-axis (ii) directed distance from the \( x \)-axis (c) origin (iii) directed distance from the \( y \)-axis (d) quadrants (iv) four regions of the coordinate plane (e) \( x \)-coordinate (v) horizontal real number line (f) \( y \)-coordinate (vi) vertical real number line
Problem 1
Horizontal shifts, vertical shifts, and reflections are called ________ transformations.
Problem 1
In Exercises 1-7, fill in the blanks. The simplest mathematical model for relating two variables is the ________ equation in two variables \( y = mx + b \).
Problem 1
The graph of a function \(f\) is the collection of ________ ________ \((x, f(x))\) such that \(x\) is in the domain of \(f\).
Problem 2
The set of all solution points of an equation is the ________ of the equation.
Problem 2
In Exercises 2 - 4, fill in the blanks. An ordered pair of real numbers can be represented in a plane called the rectangular coordinate system or the ______________ plane.
