WILL MEDAL & FAN! need help finding domain of equation:
{ 50x if 0≤x≤1
y= { 50+85x if 1

Question

WILL MEDAL & FAN! need help finding domain of equation:
         {       50x if 0≤x≤1
y=     {  50+85x if 1<x≤4
         {305+60x if 4<x≤6

anonymous · Answer

the { are supposed to be all connected...

solomonzelman · Answer

Look at the peace of which the function is composed.

Is the 1st peace and the 2nd peace equivalent to each other at x=1?
Is the 2nd peace and the 3rd peace equivalent to each other at x=4?

anonymous · Answer

i think yes.

solomonzelman · Answer

50•1 $\ne$ 50 + 85•1

(the left side is too small to be equivalent to the right side)



50 + 85•4 $\ne$ 305 + 60•4

(the right side is even and the right side is not, so the sides are not equivalent)

anonymous · Answer

so is 50 + 85•4 ≠ 305 + 60•4 the domain?

anonymous · Answer

I dont get how to understand which is the domain.. @SolomonZelman

solomonzelman · Answer

The domain is a set that consists of real numbers that would give a defined output for the function.

solomonzelman · Answer

(NOTE: They are presuming a continuous function, I suppose)

solomonzelman · Answer

However, at x=1 and x=4, the function seems to lose discountinuity.