if f(x) = m^5 * x + n^9, then yes, the function is linear.
m and n are not independent variables in this case, so they are fixed to be whatever values you want them to be. That means that the degree of this polynomial with x is 1, meaning that this function is linear.
Adriana A.
How would I write that in slope-intercept form?
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01/21/16
Robert U.
tutor
Simply put, I know that m and n are not independent variables because f(x) states "this is a function of x". If It was f(x, m, n), it would state "this is a function of x, m and n"
As such, m and n can be considered constants for this problem because they're not said to be variables.
As for "what is this in slope-intercept form", you'll be pleased to know it was given to you in slope-intercept form!
Compare the two functions:
f(x) = m * x + b
f(x) = m^5 * x + n^9
From this you can see that our slope is m^5 and our y-intercept is n^9, whatever those numbers may be.
I hope this makes sense.
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01/22/16
Mark M.
01/21/16