A function g(t) increases by 4 over every unit interval in t and g(0)=–1.Which could be a function rule for g(t)?
Question
A function g(t) increases by 4 over every unit interval in t and g(0)=–1.Which could be a function rule for g(t)?
Solution
The function g(t) is increasing by 4 over every unit interval in t. This suggests that the function is a linear function with a slope of 4.
The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope m is 4 (since the function increases by 4 over every unit interval in t) and the y-intercept b is -1 (since g(0) = -1).
Therefore, a possible function rule for g(t) could be g(t) = 4t - 1.
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