Find an equation of the linear function f using the given information:

f(0) = -3, f(3) = -3

Never done anything like this before, I'm a little lost. How do you set it up and write it?

Question

Find an equation of the linear function f using the given information:

f(0) = -3, f(3) = -3

Never done anything like this before, I'm a little lost. How do you set it up and write it?

anonymous · Answer

find the equation of the line through the points $(0,-3)$ and $(3,-3)$

anonymous · Answer

since both $y$ values are the same, evidently it is a constant, namely $f(x)=-3$

anonymous · Answer

I did put that, but my teacher marked it wrong and said I need to write it differently. I think she wanted y = mx + b form or something of the sort but I couldn't figure out how to convert it

anonymous · Answer

$y=0x-3$?

anonymous · Answer

I guess? That's what threw me off big time. And another thing, what is the difference between f(x) or f(0) or f(3)? what does the number in place of x signify?

anonymous · Answer

And in the case of f(0) = 0, f(-2) = 4, do you just set it up like 0,0 and -2,4 and solve for the slope?

anonymous · Answer

The number in place of x means that you substitute that value for the x. Saying f(3) is the same as saying "x=3."

And yes, to find the equation for f(0) = 0 and f(-2) = 4, use the points (0,0) and (-2,4)