The domain for f(x)=x*2-3 is 0< or equal x <4.The smallest value in the range of f(x) is?

Question

Given answers pick the correct answer
A)16 B)0 C)-3 D)4

Answer 1

To solve this problem, check the value of the function for each of your answers.
A) 16^2-3 =253
B) 0^2-3 =-3
C) -3^2-3 =6
D) 4^2-3=13
(B) is the smallest. 0 is the answer.

Answer 2

the answer is C. :]

domain= X values.
range= Y values.

so test all numbers in the domain, which are all numbers 0 through 4 (not including 4).

domain: range
0: -3
1: -2
2: 1
3: 6

if you're wondering how to get these, you just plug the domain into the function. that is:

0^2 -3 = -3
1^2 -3 = -2

and so on.

remember that the question asks for the smallest value in the RANGE of f(x), not the domain.

hope this helped :]

Answer 3

f(x)= -3+x^2 .As x^2>= 0 all values are >= -3 which is the smallest (C)