Question

how many zeros does this function have?

Answer 1

\[f(x) = \sqrt{3x ^{2}+2x-7}+4\]

Answer 2

a) 0 b)1 c)2 d)4

Answer 3

i guess a

Answer 4

thats right but how?

Answer 5

@experimentX

Answer 6

you do not get something negative values out of square root function do you??
plus there is +4 at the end ... so it will always have more than 4 ... so no zeros.

Answer 7

what do you mean by you don't get something negative values out of a sqaure root function? do you mean you can't get a negative value from a square root function?

Answer 8

yep ... if you are expecting some real value.

Answer 9

but why are we talking about negative values in the first place? because of the 3?

Answer 10

\[ f(x) = \sqrt{x}\]
try to plot the graph of this fuction from -10 to 10