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Point – Slope Form of a Linear Equation and Function Notation

Algebra 2

The are two immediate reasons we would like to use the function form.

#1: In order to graph equations on your calculator, you must first press  .

(Which means you have to solve for y before you can graph the function.)

#2: In order to use function notation instead of y.

Instead of writing “ y = ”, we can write “ f (x) = ”. This is read as ________________________________ NOT f times x.

Example 5: Start with the equation y – 2 = 3(x + 4).

a) Write the equation in function form and simplify as much as possible.

b) Replace y with the function notation f (x): ______________________________________

… this would be the function notation

Example 6: Suppose f (x) = 5x + 2, find the following:

i) f (a) =

ii) f () =

iii) f () =

iv) f (2) =

v) f (6) =

vi) f (–8) =

Example 7: Kareem is cataloging books for the library at the rate of 25 books per day. At the end of the twelfth day, there

are 475 books left to be cataloged.

a) Write an equation modeling the number of books, b, Kareem has left to catalog after d days.

b) Using your equation to answer this question , how many days will it take before Kareem is finished?

Example 8: Danika bought a used care. After 10 weeks of driving, the odometer read 29,265. After 25 weeks, it read

32,865. Danika knows she drives about the same number of miles each week.

a) Write a point – slope equation that models r , the odometer reading, as a function of t , the number of weeks she

has owned the car.

b) What was the odometer reading when Danika bought the car?

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