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Algebra 1

4.5.4 Using Function Notation and Graphing Technology

Algebra 14.5.4 Using Function Notation and Graphing Technology
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Activity

The function B B is defined by the equation B ( x ) = 10 x + 25 B ( x ) = 10 x + 25 . Use the graphing tool here or technology outside the course. Graph the function.

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If needed, remember -

  • You can collapse the equation entry tab by selecting the button.
  • To change the scale along either the x- or y y -axis, click on the wrench button and then enter minimum and maximum values for each axis and set the step value.
  • To find a point on the line, click on the line and drag the mouse along the line to display the ordered pairs for each location.

1. What is the value of B ( 6 ) B ( 6 ) ?

2. What were the window values you used for the x x -axis? (Write the values as an inequality.)

3. What were the window values you used for the y y -axis? (Write the values as an inequality.)

4. What is the value of B ( 2.75 ) B ( 2.75 ) ?

5. What is the value of B ( 1.482 ) B ( 1.482 ) ?

6. What is the value of x x if B ( x ) = 93 B ( x ) = 93 ?

7. What were the window values you used for the x x -axis? (Write the values as an inequality.)

8. What were the window values you used for the y y -axis? (Write the values as an inequality.)

9. What is the value of x x if B ( x ) = 42.1 B ( x ) = 42.1 ?

10 What is the value of x x if B ( x ) = 116.25 B ( x ) = 116.25 ?

Self Check

The function D is defined by the equation D ( x ) = 2.5 x + 12 .

Which describes the window that can be used to find the value of x when D ( x ) = 23.25 using graphing technology and gives the correct value of x ?

  1. Graph y = 2.5 x + 12 , y = 23.25 ; window: x from 20 to 25, y from 0 to 10; x = 4.5
  2. Graph y = 2.5 x , y = 23.25 ; window: x from 0 to 10, y from 20 to 25; x = 9.3
  3. Graph y = 2.5 x + 12 , y = 23.25 ; window: x from 0 to 10, y from 20 to 25; x = 4.5
  4. Graph y = 2.5 x + 12 , x = 23.25 ; window: x from 0 to 30, y from 0 to 100; x = 70.125

Additional Resources

Finding Missing Values

Function G G is defined by G ( x ) = 5 x + 20 G ( x ) = 5 x + 20 . Find the following values using graphing technology.

a. G ( 2 ) G ( 2 )

To find G ( 2 ) G ( 2 ) , look at x = 2 x = 2 on the x x -axis on the graph of G ( x ) G ( x ) . Use proper steps with your graphing technology to find the y y -value on the line: G ( 2 ) = 30 G ( 2 ) = 30 .

Graph of a straight line with y-intercepts of 20 that passes through the point (2, 30).

b. G ( x ) = 32 G ( x ) = 32

To find the value of x x where G ( x ) = 32 G ( x ) = 32 , look at where the graph crosses the y y -value of 32. Use proper steps with your graphing technology to find the x x -value where the graph meets y = 32 y = 32 .

Graph of a straight line with y-intercepts of 20 that passes through the point (2.4, 32) a green horizontal line that passes through (0, 32).

G ( 2.4 ) = 32 G ( 2.4 ) = 32

Try it

Try It: Finding Missing Values

Function H H  is defined by  H ( x ) = 2 x + 4 H ( x ) = 2 x + 4 . Find H ( x ) = 10.4 H ( x ) = 10.4 using graphing technology.

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Use the graphing tool here or technology outside the course.

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