The function f(x) = is represented by the graph. Which statement is correct? The domain of the function is all real numbers grea

Question

3 years ago

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The function f(x) = is represented by the graph. Which statement is correct? The domain of the function is all real numbers grea

ter than 0. The range of the function is all real numbers less than or equal to 0. The domain of the function is all values less than 0. The range of the function is all real numbers greater than or equal to 0.

Mathematics

2 answers:

saveliy_v [14] · Answer 1 · 2022-04-07T16:24:50+03:00

The correct answer is:

The range of the function is all real numbers greater than or equal to 0.

Explanation:

While the domain is restricted, strictly less than 0 is not correct. There is a point at x=0; this means the domain restriction should read "less than or equal to 0." Since that is not the case, the domain restrictions listed are not correct.

The graph shows a curve from 0 upward in the second quadrant. The range is the set of y-values; since they go from 0 up, this means "greater than or equal to 0" would be our range.

antoniya [11.8K] · Answer 2 · 2022-04-07T14:16:50+03:00

The last two choices are correct. The domain of the function refers to its x values, while the range refers to y values. As you can see, the graph only exists when x<=0, so the domain is real numbers small or equal to 0. At the same time, the graph is above y=0, so the range is all real numbers larger or equal to 0.