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### Transcript of  3 < x + 2 < 10  10 > -2x + 4 > 19  -5 ≥ ½ x + 3 > 11

• 3 < x + 2 < 10

10 > -2x + 4 > 19

-5 x + 3 > 11

• Now that you have worked with both equations and inequalities, you will begin to learn more about functions and their characteristics. One of those characteristics is their graphs. This lesson is an introduction relating graphs to events that will later lead to understanding functions.

• A big part of math is understanding the world around us.

• A big part of math is understanding the world around us.Part of understanding the world around us is representing information mathematically.

• A big part of math is understanding the world around us.Part of understanding the world around us is representing information mathematically.In life graphs are often used to persuade people.

• In your math notebook write what you think this graph tells you.Percent of people using shaving cream

• In your math notebook write what you think this graph tells you.Age

• A shoe store is having a sale. The first pair of shoes sells for \$40. The second pair sells for half price, or \$20. The next pair sells for half of that, and so on. Make a table showing the cost of 1 to 4 pairs of shoes.

• A shoe store is having a sale. The first pair of shoes sells for \$40. The second pair sells for half price, or \$20. The next pair sells for half of that, and so on. Make a table showing the cost of 1 to 4 pairs of shoes.

Number of PairsTotal Cost140260370475

• A shoe store is having a sale. The first pair of shoes sells for \$40. The second pair sells for half price, or \$20. The next pair sells for half of that, and so on. Make a table showing the cost of 1 to 4 pairs of shoes.

The cost depends on the number of pairs.The dependent variable (x) is the cost.The independent variable (y) is the number of pairs.The cost is a function of the number of pairs

Sketch a graph that represents this situation. Label each axis and indicate the units.

Number of PairsTotal Cost140260370475

• Note: The points are not connected since shoes can only be purchased in discrete units (1 pair, 2 pairs, etc.). You can not purchase 1.5 pairs of shoes.

• A balloon is being inflated with air. As more air is pumped into the balloon, the volume increases until it finally bursts.

• A balloon is being inflated with air. As more air is pumped into the balloon, the volume increases until it finally bursts. Determine the dependent and independent variablesSketch a graph that represents this situation.Label each axis.Determine if the function is discrete or continuous.

• Step 1: Determine important information.

• Step 1: Determine important information.Step 2: Determine dependent and independent variables.

• Step 1: Determine important information.Step 2: Determine dependent and independent variables.Step 3: Find starting point.

• Step 1: Determine important information.Step 2: Determine dependent and independent variables.Step 3: Find starting point.Step 4: Represent graphically.

• For a certain time Kim Possible jogs up a hill at a steady speed. Then she runs down the hill and picks up her speed. Which graph below accurately represents this situation?

• For a certain time Kim Possible jogs up a hill at a steady speed. Then she runs down the hill and picks up her speed. Which graph below accurately represents this situation?

• What information can we use?

• What information can we use?Kim starts off going a steady speedmeaning it does not change.

• What information can we use?Kim starts off going a steady speedmeaning it does not change.After she reaches the top she speeds up.

• Height of Falling ObjectCosts of First Class Postage Stamps.

Time (seconds)00.51.01.52.02.53.0Height (feet)20019618416413610056

Year1983198519871989199119931995Cost (cents)22252525292932

• The amount of force, f, used to hit your thumb with a hammer, impacts the amount of pain, p, that you experienceDependent Variable: ____________________ Independent Variable: ______________________________________ is a function of ___________________

• HandoutDue Wednesday

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