Algebra Worksheet 10 Graphing Calculator Skills

Integrated Algebra Worksheet Graphing Calculator Skills Section: Name:

1. Evaluate a Function ? By Tracing the Graph Example: If y = x2 ? 4x + 3, find value of y when x = 1.5. 1) Use the Y = key to get to the function editor, and enter the function: x2 ? 4x + 3. 2) Press TRACE . 3) Type in the X value, 1.5 ENTER , to move to the desired point on the graph. Note the coordinates at the bottom

of the screen. y = ?0.75. 4) Alternatively, use the left/right arrows to move the cursor along the curve (but note the problem when trying to

reach x = 1.5). 5) The up/down arrows move between functions if there is more than one graphed.

Exercise: If y = x2 + 5x + 4, find value of y when x = 2.5.

Exercise: If y = 3x2 + 8x + 5, find value of y when x = 3.5.

2. Evaluate a Function ? By Plugging in the Value Example: If y = x2 ? 5x + 3, find value of y when x = 1.5. 1) Use the Y = key to get to the function editor, and enter the function x2 ? 5x + 3. 2) Set x = 1.5 by storing the value in the variable x, and this is done by entering 1.5 followed by the keystrokes

STO X,T,,n ENTER. 3) Call up the function Y1. This is done by using the VARS key, highlight Y-VARS, and then press the ENTER

key. The 1 should be highlighted, and since this is the function you want, just press ENTER key. 4) A final press of the ENTER key gives you the value of Y1 (?2.25) that corresponds to the value of X in

calculator's memory. Exercise: If y = x2 + 5x + 4, find value of y when x = 2.5.

Exercise: If y = 3x2 + 8x + 5, find value of y when x = 3.5.

3. Find Zeros of a Function (Real Number Only) Example: If x2 ? 3x + 2 = 0, solve for x. 1) Use the Y = key to get to the function editor, and enter the function: x2 ? 3x + 2. 2) Press 2nd TRACE ( CALC ) and select 2: zeros ? Use left/right arrows/ ENTER or type in values ENTER to

select the left and right bounds, pick a value between the left and right bounds for guess, then press ENTER to calculate the zero. 3) Repeat the process to calculate the other zero. Exercise: If x2 + 5x + 4 = 0, solve for x.

Mr. Lin

1

Integrated Algebra Worksheet Graphing Calculator Skills Section: Exercise: If 3x2 + 8x + 5 = 0, solve for x.

Name:

4. Find Maximum and Minimum of a Function Example: Find the local maximum point of y = ?x2 + 3x ? 2: 1) Use the Y = key to get to the function editor, and enter the function: ?x2 + 3x ? 2. 2) Press 2nd TRACE ( CALC ) and select 4: maximum ? Use left/right arrows/ ENTER to select the left and right

bounds, then press ENTER to calculate the maximum (0.25). Example: Find the local minimum point of y = x2 ? 3x + 2: 1) Use the Y = key to get to the function editor, and enter the function: x2 ? 3x + 2. 2) Press 2nd TRACE ( CALC ) and select 3: minimum ? Use left/right arrows/ ENTER to select the left and right

bounds, then press ENTER to calculate the maximum (?0.25). Exercise: If y = x2 + 5x + 4, find the minimum of the function.

Exercise: If y = ?3x2 + 8x ? 5, find the maximum of the function.

8. Find Intercepts of Curves Example: Find the intercepts between two curves y = x2 and y = 2x

1) Use the Y = key to get to the function editor, and enter the function: Y1 = x2 and Y2 = 2x.

2) Press 2nd TRACE ( CALC ) and select 5: intersect ? Use up/down arrows/ ENTER to select the curves and use left/right arrows/ ENTER to enter the guess value, then press ENTER to calculate the intercept. Repeat the process to calculate the other intercept.

Exercise: y = 2x + 1

solve x, y.

y = ?4x + 3

Exercise: y = x + 5 y = ?x ? 4

solve x, y.

Mr. Lin

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