Determine the equation of the linear function that generates the following table of values.
1 answer:
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Answer:
The rate of change of f(x) is greater than that of g(x)
They have the same y intercept of 14
Step-by-step explanation:
Given
Table for function f(x)
Required
Compare their rate of change and intercept
For g(x), we have:
The form of an equation is:
Where
So:
For f(x): Start by calculating the slope (m)
The intercept is calculated using:
Where
--- we want to solve for y
So:
Multiply both sides by 2
Make y the subject
So, we have:
and
-- for g(x)
and
--- for f(x)
By comparison:
The rate of change (i.e. slope) of f(x) is greater than that of g(x) because
They have the same y intercept of 14