A 10-3AStd9b: I can determine if a representation is a function and state its domain and range.

Define function:

Is the graph a function?

Why? Use the vertical line test.

Is the graph a function?

Why? Use the vertical line test.

If f ( x )=√2 x+1 then calculate f (4 )

If f ( x )=√2 x+1 then solve f ( x )=7

A 10-3AStd9b: I can determine if a representation is a function and state its domain and range.

Define function:

Is the graph a function?

Why? Use the vertical line test.

Is the graph a function?

Why? Use the vertical line test.

If f ( x )=√2 x+1 then calculate f (4 )

If f ( x )=√2 x+1 then solve f ( x )=7

A 10-3AStd9b: I can determine if a representation is a function and state its domain and range.

Define function:

Is the graph a function?

Why? Use the vertical line test.

Is the graph a function?

Why? Use the vertical line test.

If f ( x )=√2 x+1 then calculate f (4 )

If f ( x )=√2 x+1 then solve f ( x )=7

A 10-3 Name___________________________________________BDFM?_______Why?_______________________AStd9b: I can determine if a representation is a function and state its domain and range.f ( x )=−4 x−3 g( x )=√x−4 h( x )=2x2−4

Calculate.f (3) f (−5 ) g(20 )

g(2 ) h(5 ) h(−10 )

Solve.f ( x )=21 f ( x )=−11 f ( x )=10

g( x )=12 g( x )=13 g( x )=14

h( x )=284 h( x )=334 h( x )=388

One temperature gauge is placed on top of Mount Hood. On the first day of each month the temperature is recorded. Consider the following graphs.

1. 2.

Which graph doesn’t make sense? In other words, which graph is NOT a function. Explain.

Which graph is a function? Why?

Is the graph a function?

Find the domain, range and intercepts.y=√x+1−3

Domain

Range

y=( x−1)( x+3 )

Domain

Range

y=( x−5 )2+4

Domain

Range