Evalauate the limit of a piecewise function with a hole

The video tutorial covers the basics of quadratic equations, focusing on graph behavior and identifying holes. It explains how to evaluate function values and approach limits using direct substitution. The instructor uses a specific quadratic equation to demonstrate these concepts, emphasizing the importance of understanding graph behavior and the limitations of certain values.

What is the general shape of the graph for the equation X^2 - 3X + 1?

• A circle

• A straight line

• A parabola opening upwards

• A parabola opening downwards

What does it mean when a graph has a 'hole' at a certain point?

• The function is undefined at that point

• The function has a maximum value at that point

• The graph intersects the X-axis

• The graph intersects the Y-axis

At which X value does the function have a hole, according to the video?

• X = 0

• X = 3

• X = 1

• X = 2

What is the Y value that the graph approaches as X gets closer to 1?

• Y = 1

• Y = 0

• Y = -1

• Y = 7

What method is used to find the Y value as X approaches a certain point on the graph?

• Graphical estimation

• Direct substitution

• Numerical integration

• Differentiation