5.1k views
1 vote
Choose all of the statements that are correct.

If f(2) = 5, then the function f passes through the point (5, 2).
If f(x) = 7, then the equation y = 7 is true.
If f(4) = y, then the equation y = 4 is true.
If y = f(x), then the function f passes through the point (x, f(x)).

1 Answer

4 votes

Final answer:

The correct statements are that if f(x) = 7 then y = 7 is true and if y = f(x) then the function f passes through the point (x, f(x)). The statement that if f(2) = 5, then f passes through (5, 2) is incorrect, as it passes through (2, 5). Again, the statement that if f(4) = y, then y = 4 is true, is incorrect because it only says that y is the value of the function at x=4.

Step-by-step explanation:

From the given options, the correct statements associated with the function f(x) are determined by understanding basic function notation and graph interpretation.

  • If f(2) = 5, then the function f does not pass through the point (5, 2). Instead, it passes through the point (2, 5).
  • If f(x) = 7, then the equation y = 7 is true for all values of x, representing a horizontal line on the graph.
  • If f(4) = y, then the equation y = 4 is not necessarily true; it only means that at x=4, the function has a value y.
  • If y = f(x), then the function f indeed passes through the point (x, f(x)).

User Cwd
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.