If a function decreases across the entire domain, then the function is called a (a)   .

A (a)   is a group of functions that all share some characteristics.

The (a)   is the point where a graph crosses the x-axis

The (a)   is the point where a graph crosses the y-axis

The quantity that the dependent quantity depends upon is called the (a)   .

When one quantity depends on another in a problem situation, it is said to be the (a)   .

A ___________ is the mapping between a set of input values called the domain and a set of output values called the range.

Example: The set of points {(0, 1), (1, 8), (2, 5), (3, 7)} is a ____________.

(a)  

The __________ is the set of input values in a relation.

Example: The ________ of the function y = 2x is the set of all real numbers.

(a)  

The _______ is the set of output values in a relation.

Example: The _______ of the function y = x² is the set of all numbers greater than or equal to zero.

(a)  

A __________ is a relation that assigns to each element of the domain exactly one element of the range.

Example: The equation y = 2x is a __________.

Every value of x has exactly one corresponding y-value.

(a)  

(a)   is a way of representing functions algebraically.

Example In the function f(x) = 0.75x,

f is the name of the function,

x represents the domain,

and f(x) represents the range.

The ________________________ is a visual method used to determine whether a relation represented as a graph is a function.

Example The equation y = 3x² is a function.

The graph passes the ________________________

because there are no vertical lines that can be drawn that would intersect the graph at more than one point.

(a)  

A __________________ is a graph of isolated points.

Example: The graph shown is a discrete graph______________.

(a)  

A ____________________ is a graph of points that are connected by a line

or smooth curve on the graph. Continuous graphs have no breaks.

Example: The graph shown is a _________________.

(a)  

If the dependent variable of a function does not change or remains ________ over the entire domain, then the function is called a ________________.

Example: The function shown is a _________________.

(a)  

A _______________________ is a group of functions that share certain characteristics.

Example: Linear functions and exponential functions are examples of ________________.

(a)  

The family of ________________ includes functions of the form f(x) = ax + b,

where a and b are real numbers.

Example: The function f(x) = 3x + 2 is a ________________.

(a)  

The family of ________________________ includes functions of the form f(x) = a(b)^x ,

where a and b are real numbers, and b is greater than 0 but is not equal to 1.

Example: The function f(x) = 2^x is an _______________________.

(a)  

A function has an ____________________ if there is a point that has a y-coordinate that is greater than the y-coordinates of every other point on the graph.

Example: The ordered pair (4, 2) is the _____________ of the graph of the function

f(x) = -1/2x² + 4x - 6.

(a)  

A function has an _________________ if there is a point that has a y-coordinate that is less than the y-coordinates of every other point on the graph.

Example: The ordered pair (1, -4) is the ______________ of the graph of the function

y = 2/3x² -4/3x -10/3.

(a)  

The family of _______________________ includes functions of the form f(x) = ax² + bx = c,

where a, b, and c are real numbers, and a is not equal to 0.

Examples: The equations y = x² = 2x + 5 and y = -4x² - 7x + 1 are ______________________.

(a)  

The family of ______________________________________ includes functions of the form

f(x) = a | x + b | + c, where a, b, and c are real numbers, and a is not equal to 0.

Example: The function f(x) = | x - 3 | - 2 is a ________________________.

(a)  

A _____________________ is the line that the graph is reflected across.

Example: The graph of y = |x| + 2 was reflected across the __________, y = 0.

(a)  

The ___________ to an equation is any value for the variable that makes the equation a true statement.

Example: The ___________ of the equation 3x + 4 = 25 is 7 because 7 makes the equation true: 3(7) + 4 = 25, or 25 = 25.

(a)