Choose between ones that are slashed ex: the grass is red/green choose the one that's correct you have to/do not have to restrict the domains of quadratic functions and absolute value functions, because these functions are one-to-one/many-to-one functions. for instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2. linear functions (excluding constant functions) and exponential functions are one-to-one/many-to-one functions, so their domains do/do not to be restricted.

restrict the domains of quadratic functions and absolute value functions, because these functions are functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.

Linear functions (excluding constant functions) and exponential functions are functions, so their domains to be restricted.
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An absolute value function, without domain restriction, has an inverse that is NOT a function.

In order to guarantee that the inverse must also be a function, we need to restrict the domain of the absolute value function to make it a one-to-one function.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the value of x is equal to 0.