Connecting a Table, an Equation, and a Graph
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- How it worksHow do you build the graph of a quadratic straight out of its table of values?
- Worked exampleFind the quadratic whose table gives f(0)=5, f(1)=2, f(2)=1, and f(3)=2.
- Worked exampleFind the exponential function whose curve passes through (0, 7) and (3, 56).
- Common mistakeWhy doesn't a table whose jumps keep getting bigger have to come from an exponential?
Check yourself
Your turneasy1 of 3
A table for the exponential function f shows f(0) = 7, and each time x increases by 1 the output is multiplied by 4. Write f(x) in terms of x.End of topic.