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A function g(x) increases by 0.4 over every unit interval in x and g(0)=1.Which could be a function rule for g(x)?

Question

A function g(x) increases by 0.4 over every unit interval in x and g(0)=1. Which could be a function rule for g(x)?

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Solution

The function g(x) is a linear function because it increases by a constant rate over every unit interval in x. The slope of the function is 0.4 (the rate of increase), and the y-intercept is 1 (the value of g(0)).

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Substituting the given values into this form, we get:

g(x) = 0.4x + 1

So, a possible function rule for g(x) could be g(x) = 0.4x + 1.

This problem has been solved

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