PC Graphing Calculator Day 2 Applications



AA2 Graphing Calculator Day 1 NAME:

*Graphing an equation of the form y =

Hit y = . Clear any equations that are stored on the screen; then enter your function(s). When your equation has been entered, hit GRAPH .

*Adjusting your viewing rectangle (window)

You can adjust your window in 2 ways. You may hit WINDOW and manually enter the x and y values that you would like; or you can use the ZOOM button and play with zooming in, out, boxing, or fitting.

*Tracing along a curve

While in the graph screen, hit TRACE. The cursor will always be flashing on the y-intercept of your graph and will display the x- and y-coordinates of that point. Use the right and left arrows to trace along the curve.

*Find the value of y, given a specific value of x

On the graphing screen, hit TRACE; then enter the x value that you are given. \

*Finding the intersection point between two equations

From any screen, select CALC using 2nd TRACE. Select option 5. Move the cursor to the vicinity of the desired intersection point and hit ENTER 3 times. The intersection point will be displayed.

In 1-3, sketch (include window and point of intersection).

1. 3x + 5y = 12 2. y + x = -6 3. y = -x

x + 4y = 11 y = x2 + 6x y = -x(x – 2)2

4. Check your answers to #1-3 using the calculator’s CALC feature.

5. For A) y = cos x, state the amplitude and period

B) y = sin 2x, state the amplitude and period

C) Sketch (include window)

D) Use the trace feature to intersection points

For y = cos x = sin 2x

AA2 Graphing Calculator Day 2 Applications NAME:

Goal: Use Trace Feature and Table feature as well to check answers:

1. If a ball is thrown upward from a building 30 m tall and the ball has a vertical velocity of 25 m/s, then its approximate height above the ground t seconds later is given by h(t) = 30 + 25t –5t2.

a. Sketch and label the graph of this function

(include window).

b. What is the y-intercept and what does it represent?

c. After how many seconds does the ball hit

the ground?

d.) What is the vertex and what does it represent?

2. A farmer wants to make a rectangular enclosure using a wall as one side and 120 m of fencing for the other three sides (use y for the side parallel to the wall and x for the side perpendicular to the wall)

a. Write an equation for the perimeter (use x and y)

b. Write an equation for the area (use x and y)

c. Express the area in terms of x (combine a & b)

d. Graph the area function and find the value of x

that gives the greatest area (sketch and label graph)

e. State the maximum area

3. Suppose you have 102 m of fencing to make two

side-by-side rectangular enclosures. If its width is x,

complete c – e like #2.

4) A manufacturer cuts squares from the corners of an 8 cm by 14 cm piece of sheet metal and then folds the metal to make an open-top box.

a. Draw a diagram that shows that the volume of the box is:

V(x) = x(8 - 2x)(14 - 2x)

b.) Sketch the volume function (include your window)

c.) Find the value of x (hundredths)

that maximizes the volume.

d.) Give the approximate maximum volume.

5) A 10 cm by 20 cm piece of sheet metal is cut and folded to make a box with a top. The volume is: V(x) = x(10 - x)(10 - 2x)

a.) Sketch the volume function (include your window)

b.) Find the value of x (hundredths)

that maximizes the volume.

c.) Give the approximate maximum value.

AA2 Graphing Calculator Day 3 NAME:

*Finding the zeros (x-intercepts) or turning points of a curve from the graph

From any screen, select CALC using 2nd TRACE. Select option 2 zero (either type “2” and then ENTER, or arrow down). Use the arrow to move the cursor to the left of the desired zero, then ENTER. Now move the cursor to the right of the desired zero and ENTER. Repeat the process for additional zeros (or turning points).

*Entering a table of values into lists 1 and 2 (L1 and L2)

Hit STAT, then select EDIT. Clear any data in the two lists by highlighting the top line (L1 or L2), then typing CLEAR, followed by the down arrow. Enter the data in the two lists, typing ENTER between each entry. To delete an entry, highlight the entry, then press DEL.

*Plotting the data points (ordered pairs)

Turn on Plot 1 by hitting 2nd Y = to get to the STAT PLOT menu. Select 1 by pressing ENTER; then turn on the plot by selecting it. Adjust any necessary info on this screen. Press GRAPH to plot the data points. (Adjust window as needed).

*Finding an equation of a curve that passes through a set of data points (a regression)

|Missing Assignments|Test Scores |

| 3 | 70 |

| 1 | 92 |

| 4 | 63 |

| 3 | 75 |

| 2 | 78 |

| 1 | 89 |

| 5 | 60 |

After entering the data in L1 and L2, hit STAT, then select CALC. now choose which type of regression you’re looking for: LinReg is linear, QuadReg is quadratic, etc. When your regression name is displayed on the home screen, press ENTER. The calculator will automatically take the data form L1 and L2. If you have your data in different lists, then you must type them, separated by a comma, after the regression name. Then ENTER.

Write an equation of a line through the following points.

1. (2, 2) & (8, -1) 2.

3. Using your equation of the best fit line

for #2, predict the test score of someone

missing no assignments.

QUADRATIC REGRESSIONS

In 4-5, A) sketch your graph (include window, stat plot and the graph of the quadratic)

B) write an equation in the form f(x) = ax2 + bx + c

4. f(1) = 4, f(2) = 12 and f(4) = 46 5. f(1) = 10.5, f(2) = 13, f(5) = 32.5

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