Algebra 1 Functions 2Expression 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

Write using function notationThe area of a circle is a function of its radius A = πr2

Your income is a function of your sales I = .05s + 15000

Function Notation is used to show the relationship between two quantities. d(t) = 50t Distance is a function of timeDistance d is the dependent variableTime t is the independent variable

Describe the functional relationship indicatedIndicate 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(1) = 25.12What are the dependent and independent variables?

Explain the meaning of v(3) = 226.08

Assignment: Worksheet