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Determine whether the functions/relations represented in the tables or graphs are inverses. (2 pts each) a....

1. Determine whether the functions/relations represented in the tables or graphs are inverses. (2 pts each)
a. Circle one: Inverse Not inverse
b. Circle one: Inverse Not inverse
2. How did you determine if (a) was or wasn't an inverse? (2 pts)
3. A quadratic function is represented below. Graph its inverse on the same graph (line) and complete the table of values. (4 pts)
Original: x | y
Inverse: x | y
4. Attributes of an original function are given below. Determine the attributes of its inverse.
Domain of original: (-∞, ∞) Domain of inverse: ________ (1 pt)
Range of original: [0, ∞) Range of inverse: ________ (1 pt)
y-intercept of original: (0, 4) x-intercept of inverse: ________ (1 pt)

Answer

  1. a.

    Circle one: Not inverse

  2. b.

    Circle one: Inverse

  3. To determine if (a) was or wasn't an inverse, check if the composition of the functions results in the identity function, or if the tables are reflections over the line y = x.

  4. Graph the inverse by reflecting the quadratic graph over the line y = x and complete the table by swapping x and y values.

  5. Domain of inverse: [0, ∞)

    Range of inverse: (-∞, ∞)

    x-intercept of inverse: (4, 0)

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