Functions
A ______ pairs inputs with outputs.
What is a relation?
The graph of a linear equation is _____.
The notation f(x), called function notation, is another name for ______.
What is y?
The ______ of a graph is the x-coordinate of a point where the graph crosses the x-axis.
What is x-intercept?
_____ is the rate of change between any two points on a line. It is the measure of the steepness of the line.
What is slope?
A relation that pairs each input with exactly one output is a ______.
What is a function?
A ______ does not have a constant rate of change.
What is a nonlinear function?
Evaluate f(x) = x + 6 when x = -2?
What is 4?
The ________ of a graph is the y-coordinate of a point where the graph crosses the y-axis.
What is the y-intercept?
What is the formula for slope?
What is y2-y1/x2-x1?
A graph represents a function when no vertical line passes through more than one point on the graph.
What is the Vertical Line Test?
A discrete domain is a set of input values that consists of only certain numbers in an interval. A ______ domain is a set of input values that consists of all numbers in an interval.
What is a continuous?
Evaluate b(x) = 18 − 0.5x when x = 4.
What is 16?
Find the x- and y-intercepts of the graph of the linear equation, 2x + 3y = 12.
What is (6,0) and (0,4)?
Slope is ____ over ____.
What is rise over run?
The function y = 3.5x + 2.8 represents the cost y (in dollars) of a taxi ride of x miles. Identify the independent and dependent variables.
What is y is the dependent variable and x is the independent variable?
(1,5) (2,10) (3,15) (4,20) (5, 25) What type of function is this?
What is a linear function?
f(x) = 6x − 12; f(x) = 18 Find the value of x?
What is 5?
Find the x and y intercepts of −6x + 9y = −18?
What is (0,-2) and (3,0)?
Let (x1, y1) = (−3, −2) and (x2, y2) = (3, 2). What is slope?
What is 2/3?
Is (7, 4), (5, −1), (3, −8), (1, −5), (3, 6) a function.
No, because 3 has two outputs.
The linear function m = 55 − 8.5b represents the amount m (in dollars) of money that you have after buying b books. Is the domain discrete or continuous?
What is discrete?
The function C(x) = 17.5x - 10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. How much does it cost to buy five tickets?
What is $77.50?
You overhear your friend explaining how to find intercepts to a classmate. Your friend says, “When you want to find the x-intercept, just substitute 0 for x and continue to solve the equation.” Is your friend’s explanation correct?
What is no; You have to substitute 0 for y to find the x-intercept, not for x.
A submersible that is exploring the ocean floor begins to ascend to the surface. The elevation y (in feet) of the submersible is modeled by the function y = 650t − 13,000, where t is the time (in minutes) since the submersible began to ascend. What is the slope and y-intercept?
What is 650 (slope) and -13000 is the y-intercept?