f (x) = 3x − 4 f (x) = 3 x - 4 Rewrite the function as an equation. y = 3x− 4 y = 3 x - 4 Use the slope-intercept form to find the slope and y-intercept.

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is a way to determine if a relation is a function. states that if a vertical line intersects the graph of the relation more than once, then the relation is a NOT a function. If you think about it, the vertical line test is simply a restatement of the definition of a function. Definition of a function: Every x value has a unique y value.

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Assuming the points are (6,2) and (9,8) We can find slope by finding change in y over change in x, or rise over run. The slope of the function is 2.

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the ordered pairs. We call these elements the input values. Range of a relation is the set consisting of all the second elements of the ordered pairs. We call these elements the output values. Problem 1: The relationship of height, in cm. and basketball players, names is a relation: a. A relation can be represented by a table: 185 186 188 b.

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The ordered pairs below represent a linear relation between x and y. (-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11) Which of the following is a correct statement about this relation? A. The slope of the line represented by this table is - 2 and the y-intercept is - 4. B. The slope of the line represented by this table is 2 and the y-intercept is ...

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Determining Whether a Relation Represents a Function. A relation is a set of ordered pairs. The set of the first components of each ordered pair is called the domain and the set of the second components of each ordered pair is called the range. Consider the following set of ordered pairs. The first numbers in each pair are the first five ...

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We have found inverses of function defined by ordered pairs and from a graph. We will now look at how to find an inverse using an algebraic equation. The method uses the idea that if f (x) f (x) is a one-to-one function with ordered pairs (x, y), (x, y), then its inverse function f −1 (x) f −1 (x) is the set of ordered pairs (y, x). (y, x).

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The table shows the altitude of a hot–air balloon during its linear descent. What equation in slope–intercept form gives the balloon’s altitude at any time? What do the slope and y–intercept represent? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear.

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A function of two variables is a function – that is, to each input is associated exactly one output. The inputs are ordered pairs, (x, y). The outputs are real numbers. The domain of a function is the set of all possible inputs (ordered pairs); the range is the set of all possible outputs (real numbers). The function can be written z = f(x,y).

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Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table). A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.

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You can use the slope and y-intercept to write an equation for any linear function. In the equation y5mx1b, mis the slope and bis the y-intercept. Because the y-intercepts in the graph above are all 0, the equations are y51 ··2

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PO 1. Determine if a relationship is a function, given a graph, table, or set of ordered pairs. In order for a graph to be a function the graph must pass the . vertical line test. If vertical lines can be drawn across the graph of an equation and each line passes through the graph only once than the graph represents a function.