Reading Graphs

A graph of a function is shown. Using the graph, find the indicated function values; that is, given the input, find the output.

Rewrite the information above as ordered pairs.

)3,1(

)4(g2

3)4( g

)1(g 3)1( g

)0(g2

5)0( g

2

3,4

2

5,0

Reading Graphs

A graph of a function is shown. Using the graph and given an output, find the input.

Rewrite the information above as ordered pairs.

)5,3(,5,5

?5)( is of aluesFor what v xgx

3,5 xx

?1)( is of aluesFor what v xgx

1,3 xx

)1,1(,1,3

Zeros of Functions

The values of for which are called the zeros of the function.

x 0)( xf

Zeros are places where the function value is zero.Places where the y value is zero.

Zeros are the x values of the x-intercept.

Zeros of Functions

(a) Find the x-intercepts of the graph of f(x).

(b) Find the zeros of f(x).

6,3,4 xxx

)0,6(

)0,3(

)0,4(

Reading Graphs

(a) Find g(-3).

(b) Find g(5).

(c) Find g(6).

(d) Is g(-5) positive or negative?

(e) For what numbers x is g(x) = 0?

2)3( g

2)5( g

3)6( g

positive

3,4 xx

Reading Graphs

(h) What are the x-intercepts?

(i)What is the y-intercept?

(j)For what numbers x is g(x)= -2?

(k)For what number x is g(x) = 3?

(l)What are the zeros of g?

]6,6[

]4,3[ )0,3()0,4(

)3,0(

2,3 xx

(f) What is the domain of g?

(g) What is the range of g?

5x

3,4 xx

Tables as Functions

x -4 -1 0 1 3 7 12

y = f(x) 5 7 3 15 8 10 0

(a) Find f(-1).

(b) Find f(3).

(c) What is the x-intercept of the graph of f?

(d) What is the y-intercept of the graph of f?

(e) For what numbers x is f(x)= 5?

7)1( f

8)3( f

)0,12(

)3,0(

4x