Algebra 2 Larson

Lesson 2.2 Part 2

More on Functions and Their Graphs

​

Multiple Select

Check Point 3:
Determine whether the graph of

$$y^5=x^3$$ is symmetric with respect to the y-axis, x-axis, or the origin. 

Select all that apply.

• symmetry with respect to the y-axis

• symmetry with respect to the x-axis

• symmetry with respect to the origin

Multiple Choice

Check Point 4a:

Determine whether each graph is the graph of an even function, an odd function, or a function what is neither even nor odd.

• even function

• odd function

• a function what is neither even nor odd

Multiple Choice

Check Point 4b:

Determine whether each graph is the graph of an even function, an odd function, or a function what is neither even nor odd.

• even function

• odd function

• a function what is neither even nor odd

Multiple Choice

Check Point 4c:

Determine whether each graph is the graph of an even function, an odd function, or a function what is neither even nor odd.

• even function

• odd function

• a function what is neither even nor odd

Multiple Choice

Check Point 5a:
Determine whether each of the following instructions is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither.

$$f\left(x\right)=x^2+6$$  

• even function, symmetric to respect to y-axis

• odd function, symmetric to respect to the origin

• neither, symmetric to neither the y-axis nor the origin

Multiple Choice

Check Point 5b:
Determine whether each of the following instructions is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither.

$$g\left(x\right)=7x^3-x$$  

• even function, symmetric to respect to y-axis

• odd function, symmetric to respect to the origin

• neither, symmetric to neither the y-axis nor the origin

Multiple Choice

Check Point 5b:
Determine whether each of the following instructions is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither.

$$h\left(x\right)=x^5+1$$  

• even function, symmetric to respect to y-axis

• odd function, symmetric to respect to the origin

• neither, symmetric to neither the y-axis nor the origin