Which of the following equations best represents the graph of f(n)?

f(y) = n

f(x) = n

x = f(n)

y = f(n)

Question

Which of the following equations best represents the graph of f(n)? 

 f(y) = n 

 f(x) = n 

 x = f(n) 

 y = f(n)

jim_thompson5910 · Answer

y and f(x) are usually interchangeable

ie

y = f(x)

If we replace x with n, we get y = f(n) where n is the input now instead of x.

anonymous · Answer

Thanks, can you help me with one more?

jim_thompson5910 · Answer

sure

anonymous · Answer

The gralow plots a function f(x).If x represent time, the average rate of change of the function f(x) in the first three seconds is ___.

jim_thompson5910 · Answer

first you need f(0) and f(3)

jim_thompson5910 · Answer

f(0) = ?
f(3) = ?

anonymous · Answer

100 and 200? Because the y intercept is 100 at 0 seconds and 200 at 3 seconds

jim_thompson5910 · Answer

See attached

jim_thompson5910 · Answer

Notice I added in those blue lines

anonymous · Answer

Oops. Accident 100 and 220?

jim_thompson5910 · Answer

Subtract the y values: 220-100 = 120

Subtract the x values: 3-0 = 3

Then divide the differences: ydiff/xdiff = 120/3 = 40

So the slope of this line is 40

jim_thompson5910 · Answer

The slope is the same as the average rate of change (since we're talking about straight lines)