Which of the following is an even function? O f(x) = |x| O f(x) = x3 - 1 O f(x) = -3x O f(x) = 2x
Mathematics · Middle School · Thu Jan 21 2021
Answered on
Determine which of the following is an even function:
f(x) = x^3 -1
f(x) = -3x
f(x) = 2x
Explanation:
An even function can be categorized if it has an exponent or a degree of 2, 4, 6, 8,…. and so on, it shorter terms, the degree of the function must be even. It is categorized that way, since even functions are graphed in the cartesian coordinate plane like a mirror. To picture this out, take a look at an example of the graph of a quadratic function, which is parabolic in shape. This means that the line are mirrored from both x and y axis. Based on the given choices, there is no function that have an even degree, therefore they are categorized as odd functions.
Final answer:
No even function.