Symmetric and Even and Odd

Which of the following functions is even?

• f(x) = x^2 + 1

• f(x) = x^3 + x

• f(x) = x^2 - x

• f(x) = x^3 - x

Drag the correct answers for the question.

​ (a)   ​ (b)   ​ ​

• Negative

• Odd

• Even

• Positive

• Neither

Consider a function g(x) that contains the point (-3,10).

If g(x) is even, it must also contain ​ (a)  

If g(x) is odd, it must also contain ​ (b)  

• (3,10)

• (3,-10)

• (-3,-10)

• (10,3)

• (-10,3)

• Even

• Odd

• Neither

Use Desmos to determine if the functions are even or odd

• Neither

• Even

• Odd

This function is a(n) ​ (a)   function

• Odd

• Even

• Neither Odd nor Even

Tags

symmetry

The function is a(n)​ ​ (a)   function.

• Even

• Odd

• Neither Odd nor Even

The function is (even/odd/neither)​ (a)   because the table (shows/ does not show) ​ (b)   symmetry about ​(y-axis/origin/ either one) (c)   .

• even

• shows

• y-axis

• odd

• does not show

• origin

• either the origin or the y-axis

• neither

• Even

• Odd

The function is (even/odd/neither) ​ ​ (a)   because the table (shows/ does not show) ​ (b)   symmetry about ( origin/ y-axis/ either one)​ (c)   .

• shows

• y-axis

• odd

• does not show

• origin

• either the origin or the y-axis

• even

• neither