Question

The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.

The domain of the function is .

The range of the function is .

Answer 1

Answer: The graph of the function f(x) = 0.5|x| is wider than its parent graph, f(x) = |x|.

The domain of the function is

all real numbers.

The range of the function is

all real numbers greater than or equal to 0.

1. A

2. A

3. B

Answer 2

The graph of function f(x) = 0.5|x| is wider than its parent graph f(x) = x.

The domain of this function is R (set of real number).

The range of this function is R>=0 (set of non negative real number).

What is domain of a function?

The domain of a function is the set of input values for f, in which the function is real and defined.

What is range of a function?

The range of a function is a set of all the images of elements in the domain.

The domain and range of f(x) = 0.5|x|, as observed in the graph attached below, is R and  R >= 0 respectively.

Learn more about domain and range of a function here

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