Finding X and Y Intercepts of Functions

The video tutorial introduces the concept of intercepts, focusing on x-intercepts and y-intercepts. It explains how to find these intercepts for linear and quadratic functions both graphically and algebraically. The tutorial covers the importance of intercepts in understanding the behavior of functions and provides step-by-step instructions for calculating them. The video concludes with a summary and encourages viewers to engage with future lessons.

What is the y-coordinate of any point on the x-axis?

• 0

• -1

• 1

• Undefined

What is the significance of the y-coordinate being 0 for x-intercepts?

• It indicates the lowest point of the function

• It indicates the function is undefined

• It indicates the function crosses the x-axis

• It indicates the highest point of the function

What does the slope of 3 in the equation y = 3x - 6 indicate?

• Rise of 3 units to the right

• Rise of 3 units upwards

• Rise of 3 units to the left

• Fall of 3 units downwards

What does the equation y = 3x - 6 represent?

• A quadratic function

• An exponential function

• A cubic function

• A linear function

How do you find the x-intercept algebraically in the equation y = 3x - 6?

• Multiply both sides by 3

• Add 6 to both sides

• Set x to 0

• Set y to 0

What is the y-intercept of the function y = 3x - 6?

• (6, 0)

• (0, -6)

• (0, 6)

• (-6, 0)

How do you algebraically find the y-intercept of a function?

• Set x to 0 and solve for y

• Divide both sides by the coefficient of x

• Set y to 0 and solve for x

• Multiply both sides by the coefficient of x

Why can a quadratic function have two x-intercepts?

• Because it is a straight line

• Because it can cross the x-axis twice

• Because it never touches the x-axis

• Because it is always above the x-axis

What are the x-intercepts of the quadratic function y = x^2 + 5x + 6?

• No x-intercepts

• x = -3 and x = -2

• x = 0

• x = 3 and x = 2

What is the y-intercept of the quadratic function y = x^2 + 5x + 6?

• (0, -6)

• (0, 6)

• (-6, 0)

• (6, 0)