select all of the even functions.

Explanation:

Step1: Recall the definition of an even function

An even function (y = f(x)) satisfies the property (f(-x)=f(x)) for all (x) in its domain. Graphically, an even function is symmetric about the (y -)axis.

Step2: Analyze (q(x))

For the function (q(x)), if we take a point ((x,y)) on the graph, the point ((-x,y)) is not on the graph. For example, when (x = 1), (q(1)) has a certain value and (q(- 1)) has a different value. So (q(x)) is not symmetric about the (y -)axis.

Step3: Analyze (g(x))

For the function (g(x)), if we take any (x) value, say (x=a) and (x =-a). The (y -)values (g(a)) and (g(-a)) are equal. The graph of (g(x)) is symmetric about the (y -)axis.

Step4: Analyze (c(x))

For the function (c(x)), if we take any (x) value, say (x = b) and (x=-b). The (y -)values (c(b)) and (c(-b)) are equal. The graph of (c(x)) is symmetric about the (y -)axis.

Step5: Analyze (w(x))

For the function (w(x)), if we take a point ((x,y)) on the graph, the point ((-x,y)) is not on the graph. For example, near (x = 1) and (x=-1), the behavior of the function does not show symmetry about the (y -)axis.

Answer:

(g(x)) and (c(x)) are even functions.