Let {{MATH_115}} be a function, and imagine that the points {{MATH_116}} and {{MATH_117}} are both on its graph. Could {{MATH_118}} have an inverse function? {{CMD_119}} {{CMD_120}} {{CMD_121}}yes{{CMD_122}} {{CMD_123}}no{{CMD_124}} {{CMD_125}} {{CMD_126}} The function {{MATH_127}} could {{CMD_128}}not{{CMD_129}} have an inverse function. Imagine that it did. Then {{MATH_130}} and {{MATH_131}}. Then we have both {{MATH_132}} and {{MATH_133}}. Since a {{CMD_134}}function{{CMD_135}} cannot send the same input to two different outputs, {{MATH_136}} must not have an inverse function. {{CMD_137}} {{CMD_138}} {{CMD_139}}