Question

Which statement about the function

f(x) = |x - 3| + 4 is true?
A.
B.
C.
D.
The minimum value of the function is 4.
The domain is
x > 3.
3
The range is all real numbers.
The axis of symmetry is at
x = -3.

Answer 1

The minimum value of the function is 4.

Explanation:

The minimum value of the function is 4.

There is no number of x that when the absolute value of (x-3) can be negative. For x = 3, the value is 0 and f(x) becomes 4 when the 4 is added to 0.

The minimum value of the function is 4.

Not true. If x is > 3, then f(x) will be greater than 4.

The range is all real numbers.

Not true, f(x) can never be less than 4, which occurs when x = 3

The axis of symmetry is at x = -3.

Not true. See attached graph. It is at x = 3.