47E

Step by step solution Step 1 of 2 Given function f(x) = x +5x 12.2 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. 4 2 f(x) = (x) +5(x) 12 f(x) = x +5x 12 f(x) = f(x) Based on the previous relation we can conclude that the function f(x) is even and it is symmetric with r espect 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) = x +5x 12.