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Equations as Functions Objective: To determine whether an equation represents a function and find functional values for a given function. 5-Minute Check Write four solutions for each equation. Write the solutions as ordered pairs. 1. y = 2x – 4 5-Minute Check Write four solutions for each equation. Write the solutions as ordered pairs. 1. y = 2x – 4 2. y = x/2 – 3 5-Minute Check Write four solutions for each equation. Write the solutions as ordered pairs. 1. y = 2x – 4 2. y = x/2 – 3 3. x + y = 12 5-Minute Check Write four solutions for each equation. Write the solutions as ordered pairs. 1. y = 2x – 4 2. y = x/2 – 3 3. x + y = 12 Determine whether each relation is linear. 4. x – y = 32 5-Minute Check Write four solutions for each equation. Write the solutions as ordered pairs. 1. y = 2x – 4 2. y = x/2 – 3 3. x + y = 12 Determine whether each relation is linear. 4. x – y = 32 5. 25 – y2 = x2 Equations as Functions The solutions of an equation in two variables are ordered pairs. Such an equation describes a relation. The set of values of x is the domain of the relation. The set of corresponding values of y is the range. Equations as Functions Example: a. Solve y = 3x + 4 if the domain is {-2, -1, 0, 1}. x y -2 -1 0 1 Equations as Functions Example: a. Solve y = 3x + 4 if the domain is {-2, -1, 0, 1}. b. Graph the equation. Equations as Functions Example: a. Solve y = 3x + 4 if the domain is {-2, -1, 0, 1}. b. Graph the equation. c. Is the equation a function? Equations as Functions Equations that represent functions can be written in functional notation, f(x). The symbol f(x) is read “f of x” and represents the value in the range that corresponds to the value of x in the domain. For example, f(8) is the element in the range that corresponds to the element 8 in the domain. Equations as Functions One can determine a functional value by substituting the given value for x into the equation. For example, if f(x) = 7x – 5 and x = 2, then f(2) = 7(2) – 5 or 9. Equations as Functions Assignment: 12 – 30 even, 32 – 40 all. Pages 394 – 395

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