Question

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.

Answer 1

Let's consider the two opposite points that the graph passes through.

Point 1: -1, -6

Point 2: 1, -6

Let's determine the value at f(-1) and f(1)

f(-1) = -6

f(1) = -6

Therefore, f(-1) = f(1), which is the function of an even function.

In Summary, among the given statements, only the following is TRUE:

CHOICE A : f(x) is an even function

CHOICE E : f(-1) = f(1)