The figure shows the graph ofy = (x – 3)(x – 5)(x – a). Determine the
value of a.
a. 3
b . 4
c . 5
d . 7
I came up with 4. wondering if this is right?
the answer is 3
the curve touches twice in one place, it means that one of the x-intercepts has a multiplicity of 2. since we know one intercept is 3 and the other is 5, we see that the multiplicity is at the first intercept, so we must have (x - 3)^2, so the a must be 3
got it?