5 1 domain and range
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This document defines key concepts related to functions including: - A function pairs each input value with exactly one output value. - The domain is the set of all possible input values, usually represented by x. The range is the set of all possible output values, usually represented by y. - The independent variable represents the input values that can be any value in the domain. The dependent variable represents the output values which depend on the value of the independent variable.
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5 1 domain and range
- 2. A function is a relationship that pairs each input value with exactly one output. • Function machine: • One number goes in • Another unique number comes out. -2 y = 3x -6
- 3. Domain is the set of all possible input values Usually x’s Range is the set of all possible output values Usually y’s
- 4. Write the ordered pairs. Identify inputs and outputs. Example:
- 5. Find the domain and range:
- 6. Find the domain and range:
- 7. Independent variable – represents the input values Can be any value in the domain Dependent variable – represents the output values Depends on the value of the independent variable
- 8. The # of quarters you put in a parking meter affects the time left on the meter. Identify the independent and dependent variables.
- 9. Ex: The function y = -4x + 14 gives the number of avocados left after making x batches of guacamole. Identify the independent and dependent variables. The domain is 0, 1, 2, and 3. What is the range?
- 10. The function y = -3x + 12 gives the amount y (in ounces) of juice remaining after you take x gulps. Identify the independent and dependent variables. The domain is 0, 1, 2, 3 and 4. What is the range?