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Which functions are invertible? Select each correct answer. A coordinate graph with both horizontal and vertical axes ranging from negative 10 to 10 in increments of 2. A line is graphed with one end is in the first quadrant and the other end is in the third quadrant. The line passes through the x axis between 0 and negative 2 and it passes the y axis between 0 and 2. A coordinate graph with both x and y axes are ranging from negative 10 to 10 in increments of 2. A parabola is drawn facing down whose vertex is in the first quadrant and the parabola crosses the x axis at begin ordered pair 0 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Parabola has arrows on both ends. An absolute value function graphed on a coordinate plane. The x and y axes range from negative 10 to 10 in increments of 2. The vertex is at begin ordered pair 0 comma negative 2 end ordered pair. The graph opens up and passes through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Graph has arrows on both ends. Graph of a square root function on a coordinate plane. Both axes range from negative 10 to 10 in increments of 2. The curve begins at begin ordered pair 0 comma 0 end ordered pair. It increases from left to right and passes through begin ordered pair 4 comma 2 end ordered pair. Curve has an arrow on one end.

Which functions are invertible Select each correct answer A coordinate graph with both horizontal and vertical axes ranging from negative 10 to 10 in increments class=

Respuesta :

Using function concepts, it is found that:

  • Graph 1 (Left-top) is invertible.
  • Graph 4(Bottom-right) is invertible.

A function f(x) has an inverse if, and only if:

[tex]f(a) = f(b) \leftrightarrow a = b[/tex]

  • That is, each value of the output y is associated with only one value of the input x.

In this problem:

  • In graphs 1(left-top) and 4(bottom-right), these conditions are respected, hence, they are invertible.
  • In the parabola of graph 2(top-right), for example, y = 0 is associated with both x = 0 and x = 2, so it is not invertible.
  • In the absolute value function is graph 3(bottom-left), for example, y = 0 is associated with both x = -2 and x = 2, so it is also not invertible.

To learn more about the use of graphs to verify if a function is invertible, you can take a look at https://brainly.com/question/13160937

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