Algebra 1 Functions 2 Expression functions using function notation

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Presentation transcript:

Algebra 1 Functions 2 Expression functions using function notation Recall: A function describes the relationship between two quantities. The distance you travel when your speed is 50 mph depends upon the time you spend traveling. d =50t Function Notation is used to show the relationship between two quantities. d(t) = 50t Distance is a function of time Distance d is the dependent variable Time t is the independent variable Write using function notation The area of a circle is a function of its radius A = πr2 Your income is a function of your sales I = .05s + 15000

Describe the functional relationship indicated Indicate the independent variable and the dependent variable C(r) = 2πr v(s) = s3 s

Functional notation is used to evaluate a function for a given value Find the value of f when x = 3 f(x) = x2 + 2x - 4 If g(x) = 5x – 3, find: g(4) g(-5) g(7)

When a ball is thrown upward, its height h (in ft) is a function of the time t (in sec) that it is in the air. The height is given by h(t) = -16t2 + 48t + 4 Find the height of the ball after: 1 second 2 seconds 3 seconds What are the dependent and independent quantities?

The volume v of a cylinder with a height of 8 inches and a radius of r is given by v(r) = 8πr2. Explain the meaning of v(3) = 226.08 Explain the meaning of v(1) = 25.12 What are the dependent and independent variables?

Assignment: Worksheet