Is the function continuous or not

The video tutorial explains the graph of the quadratic function y = x^2, including its downward shift. It discusses the concept of discontinuities, emphasizing that they occur when the denominator equals zero, except in piecewise functions. The tutorial concludes by stating that the function is continuous as there is no denominator causing discontinuity.

What does the speaker imply about the graph mentioned at the beginning of the text?

What is the condition for a function to be discontinuous according to the text?

What role does the denominator play in determining discontinuities?

How does the text differentiate between piecewise functions and other functions regarding discontinuities?

Explain what is meant by a continuous function as described in the text.