A student claims that the line x = -2 is a function because it can be written in the form 'x = constant,' which is similar to 'y = constant.' Evaluate this claim and provide the correct classification with justification.

Find the domain of $y=\sqrt{x-3}$.

From the set of ordered pairs {(2,3),(4,7),(6,11)}, determine whether the set can be described by y = ax + b and, if so, find a and b.

What does the notation $f\left(x\right)$ represent in the context of functions relating $x$ and $y$?

Rewrite $y=3x-1$ using standard function notation.

From the ordered pairs $(-1,2)$, $(0,1)$, and $(1,4)$, determine the linear function $f\left(x\right)=ax+b$ that fits these points, if possible.

Which of the following is true for the identity function $f\left(x\right)=x$?

Compute $f\left(16\right)$ for $f\left(x\right)=\sqrt{x}$ and explain why this input is allowed.

A student claims the function f(x) = x³ and g(x) = ∛x are identical because both have domain and range all real numbers. Evaluate the correctness of this claim and choose the best assessment.

When expanding $(x+4{)}^2$, which FOIL result is correct?

Given $f\left(x\right)=2x+1$ and $g\left(x\right)=x^2-x$, find $(f\circ g)\left(x\right)$.

Let $f\left(x\right)=\frac{1}{x-1}$ and $g\left(x\right)=\sqrt{x-2}$. Consider the composition where: $(g\circ f)\left(x\right)=g\left(f\right(x\left)\right)=\sqrt{\frac{1}{x-1}-2}$. Determine the domain of $(g\circ f)\left(x\right)$.