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 transformation is applied to the graph of y = x^2 in the video?

• Shifted left

• Shifted right

• Shifted up

• Shifted down

When do discontinuities typically occur in a function?

• When the denominator is zero

• When the numerator is zero

• When the function is linear

• When the function is quadratic

Which type of function was mentioned as an exception to the typical discontinuity rule?

• Quadratic functions

• Exponential functions

• Piecewise functions

• Linear functions

What is the condition for a function to be continuous according to the video?

• It has a zero in the numerator

• It has no denominator

• It is a piecewise function

• It has no zero in the denominator

What conclusion is drawn about the function y = x^2 in the video?

• It is discontinuous

• It is a piecewise function

• It is continuous

• It is undefined