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Before: October 19, 2017 A function is represented by f (x) = 2x + 5. Find f (3). Create a table representing the above function with a domain: {1,2,3,4} Give the range of the function with the given domain.
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During: Graphing Relationships
Learning Targets I can represent a set of ordered pairs as a table. I can transfer data from a table into ordered pairs. I can translate a verbal phrase into a function and sketch graphs. I can show the difference between a table and mapping and explain their features.
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THINK & DISCUSS: Show the relationship as a table and mapping diagram
THINK & DISCUSS: Show the relationship as a table and mapping diagram. {(1, 2), (3,2), (4,6), (2,4)} Think & discuss the similarities and differences explaining the features of each and how they can be used. Table Mapping Diagram x y Think – tables clearly show ordered pairs which will be useful when graphing. Mapping Diagrams – clearly
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We Do: Graph the function for the given domain
We Do: Graph the function for the given domain. x – 3y = –6; D: {–3, 0, 3, 6} Step 1 Solve for y since you are given values of the domain, or x. x – 3y = –6
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Graph the function for the given domain. x – 3y = –6; D: {–3, 0, 3, 6}
Step 2 Substitute the given value of the domain for x and find values of y. x (x, y)
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Graph the function for the given domain.
Step 3 Graph the ordered pairs.
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Graph the function for the given domain. –2x + y = 3; D: {–5, –3, 1, 4}
Substitute the given value of the domain for x and find values of y. x y = (x, y)
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Graph the function for the given domain.
Step 3 Graph the ordered pairs.
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Graph the function for the given domain
Graph the function for the given domain. f(x) = x2 – 3; D: {–2, –1, 0, 1, 2} Substitute the given value of the domain for x and find values of f(x). x f(x) = x2 – 3 (x, f(x))
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Graph the function for the given domain.
Step 3 Graph the ordered pairs.
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Graph the function for the given domain
Graph the function for the given domain. f(x) = x2 + 2; D: {–3, –1, 0, 1, 3} Substitute the given value of the domain for x and find values of f(x). x f(x) = x2 + 2 (x, f(x))
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Graph the function for the given domain.
Step 3 Graph the ordered pairs.
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