Graphs and Coordinates: Videos & Practice Problems

Determine if the following relation is a function. If so, find its domain and range:

{(1, 7), (2, 8), (3, 3)}

Assess and solve the following function for the mentioned value of the independent variable: g(x) = x³-3 ; g(0) 

Evaluate the given function as required and simplify.

h(x) = x⁴ + 5x² - 11 if h(- 3x)

Graph the following equation and label the x-intercepts, if there are any.

y = 4(x + 2)² + 7(x + 2) - 2

For the following equation, determine if it defines y as a function of x.

|9x| - 3y = 6

Use the graph to determine all the x- and y-intercepts.

What is the name of the horizontal axis in the rectangular coordinate system?

Which of the following represents an ordered pair?

If you have the ordered pair (2, -3), where would you plot this point on the Cartesian plane?

What are the coordinates of the origin in the Cartesian plane?

Which quadrant does the point (-4, 5) lie in?

Which quadrant is located in the top right corner of the Cartesian plane?

Plot the point (3, -2) on the Cartesian plane. Which quadrant does it fall into?

Given the ordered pair (-5, 7), describe the movement from the origin to this point.

Which of the following points is closest to the origin: (3, 4), (-2, 1), (0, 5), or (-1, -1)?

A city map uses a Cartesian plane where the origin is the city center. If a park is located at (4, -3) and a library is at (-2, 5), what is the distance between the park and the library?

What is the significance of the intersection of the x and y axes?

Which ordered pair represents a point located directly on the y-axis?

If a point is plotted at (-3, -4), what quadrant is it located in, and what does this tell you about the signs of its coordinates?