1 / 28

Functions and Graphs

Functions and Graphs. Word Problems to Equations (REVIEW). 1. You and three friends go to Johnny Rockets. You all split the bill equally. Each person’s share was $3.75. How much was the original bill? Let a represent the amount of the original bill.

rance
Download Presentation

Functions and Graphs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Functions and Graphs

  2. Word Problems to Equations (REVIEW) 1. You and three friends go to Johnny Rockets. You all split the bill equally. Each person’s share was $3.75. How much was the original bill? Let a represent the amount of the original bill. 2. Bob Loblaw is on a diet to lose weight. After losing 23 pounds, Bob weighs 215 pounds. What was Bob Loblaw’s weight before his diet? Let w represent Bob’s original weight. 3. A cheese pizza from Mulberry St. is cut into twelve equal pieces. Sold individually, each slice cost $1.50. What is the cost of an entire pizza at this rate? Let c represent the cost of the entire pizza.

  3. Check You Out... Write and equation for the following word problems... 4. Eagle Creek Park is 310 acres smaller than Griffith Park. If Eagle Creek Park is 2800 acres, find the size of Griffith Park. Let g represent the size of Griffith Park. 5. The area of a rectangle is 162 cm2. If the width is 6 cm, find the length. Let l represent the length of the rectangle. 6. You save $50 each week. How long will it take to save $1300? Let w represent the number of weeks.

  4. Write and equation for the following... and SOLVE... 1. A large pile of books is divided into three equal size stacks. Each stack has 36 books. How many books were in the original pile? Let p represent the number of books in the original pile. 2. A deck of playing cards were dealt equally among five players. Each player received 16 cards. How many cards are in a deck? Let c represent the number of cards in the deck. 3. Griffith Park is 312 acres larger than Eagle Creek Park. If Griffith Park is 3278 acres, find the size of Eagle Creek Park. Let e represent the size of Eagle Creek Park.

  5. Slope

  6. Rise over Run... RISE RUN Slope can be written as a fraction You locate two points and count how many you RISE and RUN... Slope is equal to 2 3 + 3 + 2

  7. Try to find the slope using Rise over Run... A Slope A = Slope B = B

  8. Check You Out... Try to find the slope using Rise over Run... A B C Slope A = Slope B = Slope C = Slope D = D

  9. Slope Formula... Use two points on the line and plug them into the formula... y2 - y1 x2 - x1 Slope = For Example... Find the slope for a line containing the points (1,3) and (2,6) Step 1 Step 2 Know which point is 1 and 2... The first one given is 1 and the second given is 2... Then plug the corresponding numbers into the equation and SOLVE... y2 - y1 x2 - x1 6 - 3 2 - 1 = Slope = =

  10. Find the slope of the line going through the following points... y2 - y1 x2 - x1 Slope = Points (0,-2) and (3,7) Points (3,4) and (5,12)

  11. Check You Out... Find the slope of the line going through the following points... Points (5,-2) and (6,5) Points (0,-5) and (-3,-20) Points (1,4) and (2,8)

  12. Find the slope using Rise over Run... Slope A = Slope B = Slope C = Slope D = A C B D

  13. Find the slope using the Slope Formula... Points (1,2) and (8,6) Points (-2,5) and (1,14) Points (0,2) and (-1,-1)

  14. Slope-Intercept Form y = mx = b

  15. Slope-Intercept Form... [ y = mx + b ] is a form used to write equations... The X and Y are the variables... M = the slope of the line B = the y-int of the line You can find the slope using any of the 2 ways we learned last week... Find the y-int by seeing where it crosses the y-axis... Slope Y-Int y = x +

  16. Try to find the equation for the following lines... A Equation A = Equation B = B

  17. Check You Out... Try to find the equation for the following lines... Equation A = Equation B = Equation C = C A B

  18. Try to find the equation for the following lines... Equation A = Equation B = Equation C = Equation D = C B A D

  19. Lines from Equations... Knowing the y = mx + b formula you can plot any line... Just START at the y-int then rise and run for your slope... For Example... Draw the line for y = 2/3 x + 5 Start at (0,5) Then rise 2 and run 3... Then connect your two points to form a line...

  20. Try to draw the following lines on the coordinate plane... Draw the line for the following equations... A) y = 3x + 5 B) y = 4/5 - 3 C) y = -2/5 + 2

  21. Check You Out... Try to draw the following lines on the coordinate plane... Draw the line for the following equations... A) y = 2x - 3 B) y = 2/5 - 5 C) y = -1/4 + 4 D) y = 3

  22. Try to draw the following lines on the coordinate plane... Draw the line for the following equations... A) y = 2x B) y = 1/3 - 2 C) y = -5/2 + 7 D) y = -2

  23. Lines from Tables... All you have to do is plot the points from the table and connect them using a line... Try plotting the line for this table...

  24. Try plotting the lines for these tables... Line A Line B

  25. Check You Out... Try plotting the lines for these tables... Line A Line B Line C

  26. Tables from Equations... You just plug in the value of 'x' to get 'y'... For Example... Complete the function table for the following equation... 4x + 5 = y

  27. Complete the function table for the following equations... 1/2x - 2 = y -2x + 7 = y -x + 5 = y

  28. Check You Out... Complete the function table for the following equations... 6x - 2 = y -2/3x + 7 = y

More Related