Question: If a function is defined by an equation, explain how to find its domain. Describe a procedure for finding ( f o g )( x

  • If a function is defined by an equation, explain how to find its domain.

  • Describe a procedure for finding (fog)(x). What is the name of this function?

  • Describe the values ofxthat must be excluded from the domain (fog)(x).

  • Explain how to determine if two functions are inverses of each other.

  • What is the horizontal line test and what does it indicate?

  • Given a function model, describe how to enter that into your graphing calculator to display the model.

  • You entered a function into your graphing calculator but when you press GRAPH you get a blank screen. Explain why this may have happened and what you can do to fix it.

  • Explain how to decide whether a parabola opens upward or downward.

  • Describe how to find a parabola's vertex if its equation is expressed in the form
  • f(x) =ax2+bx+ c.Give an example.

  • A parabola that opens upward has its vertex at (1, 2). Describe as much as you can about the parabola based on this information. Include in your discussion the number ofx-intercepts (if any) for the parabola.

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