f(x) = 2 | |

Step by step solution Step 1 of 2 Given function f(x) = 2 x . | | We will check if the function is even or odd. We do this because even function is symmetric with respect to the y-axis and odd function has rotational symmetry with respect to the origin. f( x) = 2 |x …|(1) Let’s write the definition of absolute value of some number x: Based on this we can write that x = | . |her| |re the relation (1) becomes: f( x) = 2 |x | f( x) = 2 x| | f( x) = f(x) Based on the previous relation we can conclude that the function f(x) is even and it is symmetric with respect to the y-axis. If the function is symmetric with respect to the y-axis then its values for x and -x are equal. Let’s look the the graph of f(x) = 2 x . | |