Question

What is the range of f(x)=x2+4 if the domain is {2,0,1}

A- {0,3,5}
B-{0,4,3}
C-{0,4,5}

Answer 1

The range of the function f(x)=x^2+4 for the domain {2,0,1} is {8,4,5}, which does not match any of the provided answer options.

Step-by-step explanation:

To find the range of the function f(x)=x^2+4 when the domain is {2,0,1}, we need to calculate the function's value at each of these domain points. Here's how we do it:

1. For x=2, f(2) = (2)^2 + 4 = 4 + 4 = 8
2. For x=0, f(0) = (0)^2 + 4 = 0 + 4 = 4
3. For x=1, f(1) = (1)^2 + 4 = 1 + 4 = 5

So, the range of the function for the given domain {2,0,1} is {8,4,5}.

Note that none of the options A, B, or C matches the correct range of {8,4,5}. Therefore, the question might have a typo or error in the provided answer options.

Answer 2

The domain is {2,0,1}. These are the x values we must plug in to get the corresponding y values

if x = 2, then, y = x^2+4 = 2^2+4 = 8

If x = 0, then, y = x^2+4 = 0^2+4 = 4

If x = 1, then y = x^2+4 = 1^2+4 = 5

So the range is {8, 4, 5}