Question

The graph of an absolute value function opens up and has a vertex of (0, -3).

The domain of the function is =

A. (- ∞,-3]
B.[-3, ∞)
C.(- ∞, ∞)

The range of the function is =

A. (- ∞,-3]
B.[-3, ∞)
C.(- ∞, ∞)

Answer 1

absolute value function domain is all real numbers

absolute value has vertex of(0,-3)
and it opens up
means that the lowest y value is -3
highest is infinity


domain=-inifnity to infinity
range=-3 to positive initnify

the answer is C for the domain and B for the range

Answer 2

The domain of the function is =

C. (- ∞, ∞)

The range of the function is =

B. [-3, ∞)

Explanation:

Domain of a function--

It is the set of all the x-values or the values of the independent variable for which a function is defined.

Range of a function--

It is the set of all the values which are attained by a function i.e. it is the set of all the values taken by the dependent variable.

The graph of an absolute value function opens up and has a vertex of (0,-3).

We know that the absolute function is defined for all the values of x i.e. the domain is the set of all the real values.

Hence, the domain is the set: (-∞,∞)

Also, the graph opens up.

This means that the function takes all the values above -3 and including it.

Hence, the range is : [-3,∞)