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Degger [83]
3 years ago
13

Write a function rule for the table х f(x) 0 3 1 4 2 5 3 6

Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

  f(x) = x +3

Step-by-step explanation:

The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.

__

The slope-intercept form of a linear function is ...

  y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).

A suitable function rule is ...

  f(x) = x +3

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\Huge{\underline{\underline{\sf{\red{AnSwEr:}}}}}

\boxed{\sf{Martina's \: Present \: age = 14 \: years}}

\boxed{\sf{Her \: cousin's \: Present \: age = 2\: years}}

\Huge{\underline{\underline{\sf{\green{ExpLaNaTion:}}}}}

= Let Martina's cousin's age be = n

= Let her age be = n+12

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\boxed{ \sf {n = 2}}

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