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Examine the following function f(x).

A “U” shape graph with a flattened vertex, opening up. It passes through points (negative 1, negative 6), (0, negative 7) and (1, negative 6).

© 2018 StrongMind. Created using GeoGebra.

Which statements are correct about the function f(x)?

Select all that apply.


f(x) is an even function.
f of x, is an even function.

f(−1)=f(1)f of negative 1 is equal to f of 1

f(x) is an odd function.
f of x, is an odd function.

f(−1)=−f(1)f of negative 1 is equal to negative f times 1

f(x) has rotational symmetry.

Examine the following function fx A U shape graph with a flattened vertex opening up It passes through points negative 1 negative 6 0 negative 7 and 1 negative class=

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facundo3141592

The two statements that are true about the given function are:

  • "f(x) is an even function"
  • "f(1) = f(-1)"

Which statements are true about the given function?

Remember that an even function is a function with the property:

f(x) = f(-x).

This means that the y-axis is an axis of symmetry.

In the image we can see that this is true, the y-axis (the horizontal axis) divides the graph in two equal halves.

Then the first statement:

"f(x) is an even function" is true.

From the definition of even functions, we conclude also that f(1) = f(-1), so the second statement is also true.

If you want to learn more about even functions:

https://brainly.com/question/2011217

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