Transcript To solve equations using Intersect method with a graphing calculator:

To solve equations using Intersect method with a graphing calculator
Process
1.
Enter
y1 =
(left side of the equation).
ENTER
2.
Enter
y2 =
(right side of the equation).
ENTER
3.
2nd
TRACE
4.
5
5.
Cursor to intersection (first curve)
6.
Cursor to intersection (second curve)
7.
Guess?
8.
Read intersection:
9.
Solution is x value.
10.
Repeat process if more than one intersection.
CALC
Intersect
ENTER
ENTER
ENTER
x = ___________
y = ____________
Solve equations using Intersect method with a graphing calculator
Example: Solve graphically 3  x 
3 x
1.
Enter
y1 =
2.
Enter
y2 =
3.
2nd
TRACE
4.
5
5.
Cursor to intersection (first curve)
6.
Cursor to intersection (second curve)
7.
Guess?
8.
Read intersection:
9.
Solution is x value (x = 4).
10.
Repeat process if more than one intersection.
1
x -3
2
ENTER
ENTER
CALC
Intersect
ENTER
ENTER
ENTER
x = 4
y = -1
1
x -3
2
To solve equations using Root/Zero method with a graphing calculator
Process
1.
Set equation so zero is on one side of = sign (typically right side)
2.
Enter
y1=
3.
2nd
TRACE
4.
2
5.
Cursor to left of x-intercept
6.
Cursor to right of x- intercept
7.
Guess?
8.
Read Values:
9.
Solution is x value.
10.
Repeat process if more than one intercept.
(left side of the equation).
ENTER
CALC
Zero
ENTER
ENTER
(Left Bound)
(Right Bound)
ENTER
x = ___________
y = ____________
To solve equations using Root/Zero method with a graphing calculator
Example: Solve graphically
7 x  9  2( x  3)
1.
Set equation so zero is on one side of = sign (5x + 15 = 0)
2.
Enter
y1= 5x + 15
3.
2nd
TRACE
4.
2
5.
Cursor to left of x-intercept
6.
Cursor to right of x- intercept
7.
Guess?
8.
Read Values:
9.
Solution is x value (x = -3).
10.
Repeat process if more than one intercept.
ENTER
CALC
Zero
ENTER
(Left Bound)
ENTER
ENTER
x = -3
y = 0
(Right Bound)
To find the value of a function with a graphing calculator
Value Method
1.
Enter
y1 = (right side of the function).
ENTER
2.
2nd
TRACE
3.
1
4.
Type the x value
5.
Confirm correct function in upper left corner.
6.
Read function value (y =______)
CALC
(VALUE)
ENTER
Note: x value must be within window range.
To find the value of a function with a graphing calculator
STOre Key Method
1.
Type x value.
STO
2.
Type the function.
3.
Read function value on right side of screen.
ENTER
To find the value of a function with a graphing calculator
Value Method
Example: Find f(-4), if f(x) = x2 + 3x – 5
1.
Enter
y1 = x2 + 3x – 5
2.
2nd
TRACE
3.
1
4.
Type
5.
Confirm correct function in upper left corner.
6.
Read function value (y = -1)
ENTER
CALC
(VALUE)
-4
ENTER
Note: x value must be within window range.
To find the value of a function with a graphing calculator
STOre Key Method
Example: Find f(-4), if f(x) = x2 + 3x – 5
1.
Type -4.
STO
2.
Type x2 + 3x – 5
3.
Read function value on right side of screen (-1).
ENTER