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Q: How do you determine the value of f of x given a value of x?
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Put f(x) = 0 and solve for x.


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How can you determine the rate of change and initial value of a relation from its equation?

If the equation is of the form y = f(x) where f is some function of the variable x, then The initial value is found by evaluation f(0): that is, the value of f(x) when x = 0. The rate of change is the derivative of f(x) with respect to x, written as f'(x). That is the limit (if it exists), as dx tends to 0, of [f(x+dx) - f(x)]/dx. In the simple case, where f(x) is a linear equation of the form y = mx + c, then f(0) = c and f'(x) = m


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You use the inverse function (if one exists).So, if y = f(x) then x = f-1(y)


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What is the value of f(8) for the function f(x) 8x plus 5?

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What does the expression approaching a given value mean in mathematics?

If you are talking about a function in a variable (lets say f(x)=1/x) then it probably means that as x gets bigger and bigger, the function f(x) starts to settle around a certain number, ie: f(x) is the same for two really big numbers that are different. With f(x)=1/x we have f(1000000)=1/1000000=0.000001 and f(2000000)=1/2000000=0.0000005 Which are both VERY, VERY close to 0. SO in this example the expression (f(x)=1/x) is approaching a given value of 0.