Graphing and Analyzing Functions

This lesson covers how to find the zeros of first and second-degree polynomial functions. It explains the concept of zeros as points where the function equals zero, focusing on linear and quadratic functions. The lesson details how quadratic functions form parabolas and how to find their zeros through factoring. It also clarifies the difference between setting a function to zero and substituting zero into the function.

What are the coordinates of a point on the x-axis?

• (x, 0)

• (0, 0)

• (x, y)

• (0, y)

What is the graph of a quadratic function called?

• Line

• Circle

• Ellipse

• Parabola

Where is the vertex of a parabola located?

• On the line of symmetry

• On the y-axis

• On the x-axis

• At the origin

How many x-intercepts does a linear function typically have?

• None

• One

• Two

• Infinite

What information is needed to graph a linear function?

• Zero and slope

• Two zeros

• Zero and one other point

• Slope and y-intercept

What is the process of changing a polynomial from additions to a product of factors called?

• Simplifying

• Expanding

• Factoring

• Differentiating

What are the zeros of the function x^2 + 5x + 6?

• 3 and 2

• 5 and 6

• -3 and -2

• 0 and 6

What happens when you set a function equal to zero?

• You find the vertex

• You find the y-intercept

• You find the x-intercepts

• You find the slope

What is the result of substituting zero for x in a function?

• The function equals zero

• The function equals the y-intercept

• The function equals the slope

• The function equals the vertex

How many values of x make a function equal zero when set to zero?

• One

• Two

• Three

• None