9514 1404 393
Answer:
- neither (y=(x-.5)^2-6.25)
- linear (y=4x+6)
- exponential (y=3^x)
Step-by-step explanation:
1. Successive y-values have neither a common difference nor a common ratio. The table is neither linear nor exponential.
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2. Successive y-values differ by 4. The table is linear.
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3. Successive y-values have a ratio of 3. The table is exponential.
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Additional comment
For evenly-spaced x-values, the y-values will have a common difference for a linear function, and a common ratio for an exponential function.
If the table can be represented by a polynomial function, the level at which differences are constant will tell the degree of the polynomial. First differences are constant for a degree 1 (linear) function. Second differences are constant for a degree 2 (quadratic) function. This is the case in Table 1, where second differences are 2.
