Learn to Graph a Piecewise Function With Three Equations

The video tutorial covers the understanding and transformation of different types of graphs, including exponential, linear, and quadratic functions. It explains how to shift graphs and adjust their properties, such as asymptotes and intercepts, and discusses the domain and range of these functions. The tutorial emphasizes the importance of recognizing the general shape of graphs and understanding the impact of transformations.

What happens to the graph of an exponential function when a constant is added outside the function?

• It shifts vertically.

• It becomes steeper.

• It shifts horizontally.

• It becomes flatter.

In a linear function, what does the slope of 2/1 indicate?

• The line goes down 2 units for every 1 unit it goes to the right.

• The line goes up 2 units for every 1 unit it goes to the right.

• The line goes down 1 unit for every 2 units it goes to the right.

• The line goes up 1 unit for every 2 units it goes to the right.

How is the graph of a quadratic function affected by adding a constant inside the function?

• It becomes wider.

• It becomes narrower.

• It shifts horizontally.

• It shifts vertically.

What is the domain of a continuous quadratic function?

• Zero to one.

• Negative infinity to zero.

• Zero to positive infinity.

• Negative infinity to positive infinity.

What is the range of a quadratic function that has its lowest point at zero?

• Zero to positive infinity.

• Negative infinity to zero.

• Negative infinity to positive infinity.

• Zero to one.