Reciprocal Function Concepts

The video tutorial introduces the reciprocal function f(x) = 1/x, explaining its unique characteristics. It covers plotting points to graph the function, highlighting the presence of vertical and horizontal asymptotes. The tutorial also discusses the domain and range, emphasizing the restrictions due to asymptotes. The video aims to provide a foundational understanding of the reciprocal function and its properties.

What is another name for the reciprocal function?

• Exponential function

• Inverse function

• Quadratic function

• Linear function

What is the general form of the reciprocal function?

• f(x) = e^x

• f(x) = x + 1

• f(x) = 1/x

• f(x) = x^2

Which x values are used to plot the reciprocal function in the video?

• -3, -2, -1, 0, 1, 2, 3

• -2, -1, 0, 1, 2, 3, 4

• -2, -1, -0.5, 0, 0.5, 1, 2

• -1, 0, 1, 2, 3, 4, 5

What happens when you try to divide by zero in the reciprocal function?

• The result is zero

• The result is infinity

• The result is undefined

• The result is one

What is the shape of the reciprocal function's graph?

• A straight line

• A parabola

• A hyperbola

• A circle

What is the significance of the point (1, 1) on the reciprocal function's graph?

• It is the vertex of the graph

• It is the point where the graph crosses the x-axis

• It is a point on the graph where x and y are equal

• It is the point where the graph crosses the y-axis

What is the significance of the point (-1, -1) on the reciprocal function's graph?

• It is the point where the graph crosses the x-axis

• It is the vertex of the graph

• It is the point where the graph crosses the y-axis

• It is a point on the graph where x and y are equal

What is an asymptote in the context of a graph?

• A line that the graph intersects at multiple points

• A point where the graph crosses the x-axis

• A line that the graph approaches but never touches

• A point where the graph crosses the y-axis

What type of asymptote is present at x = 0 for the reciprocal function?

• No asymptote

• Horizontal asymptote

• Slant asymptote

• Vertical asymptote

Which of the following is true about the reciprocal function's graph?

• It crosses the x-axis

• It has no asymptotes

• It crosses the y-axis

• It has a vertical asymptote at x = 0