Step-by-step explanation:
For an even function we have f(x) = f(-x)
In the given graphs let us substitute values
In first graph
f(2) = 0
f(-2) = 0
So f(2) = f (-2)
Graph is even
In second graph
f(2) = 0
f(-2) = 4
So f(2) ≠ f (-2)
Graph is not even
First graph represents an even function
The second function represents an even function.
Step-by-step explanation:
A function g(x) is said to be even if g(x) = g(-x). All that is needed is to replace x with -x in each equation, simply it and assess whether the equation remains unchanged. If the equation is identical to the original one then it is said to be even.
Step-by-step explanation:
The first graph (the parabola opening down) represents an even function, since this graph is symmetric with respect to the y-axis.
last graph
Step-by-step explanation:
Graphs of functions that are ODD, are symmetric about the origin.
Graphs of function that are EVEN, are symmetric about y-axis.
We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.
Graph 1, 2, 3 not symmetric about y-axis
Graph 4 Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.
Just took the test and the answer is C. The point is at (0,4) making it even.
The person before was wrong.