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The graph of y = f(x) is shown. Choose all the true statements.

−2 is a member of the domain of f.
−2 is a member of the range of f.
f(0) > 0
f(2) > 2

The graph of y = f(x) is shown. Choose all the true statements. −2 is a member of-example-1
User Cmaughan
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1 Answer

5 votes

Answer:

−2 is a member of the domain of f.

f(0) > 0

Explanation:

Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.

Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.

Statement 3 is TRUE.

f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.

Therefore, f(0) > 0.

Statement 4 is INCORRECT.

f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.

User Tarun Anchala
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