Question

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4.

Answer 1

Domain: All Real Numbers - Tell me an x-value that doesn't work.
Range: Hint -- What's the least possible value of \((x-3)^{2}\)?

Answer 2

I would like to think that it's 0 however I really don't know. This is on an upcoming final yet we were never taught this

Answer 3

Would the range be -4

Answer 4

Good call! But you didn't quite come to the right conclusion. If the least value of the squared expression is zero, the Range must be \([-4,\infty)\). do you see it?

Answer 5

I think so. So the answer would be A?

A)minimum value: –4
domain: all real numbers
range: all real numbers > –4
B)maximum value: 4
domain: all real numbers
range: all real numbers < 4
C)maximum value: –4
domain: all real numbers <–4
range: all real numbers
D)minimum value: 4
domain: all real numbers >4
range: all real numbers

Answer 6

btw the arrows have the equal to line under them but I couldn't past them

Answer 7

Perfect. I was going to call you on \(>\) rather than \(\ge\), so that last hint finished it off. Good work!