Which of the following correctly states the point-slope form of a line?

Find the equation of the line through $(1,2)$ and $(4,-1)$ in slope-intercept form $y=mx+b$.

A hillside rises 150 feet over a horizontal distance of 2 miles. Using feet for both axes, compute the slope (rise/run), then write the point-slope equation for the elevation y (in feet) if the base point at horizontal position x = 0 has elevation 200 ft.

Which of the following statements best defines a function?

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.

Let $f$ be defined by the set of ordered pairs $\left\{\right(0,2),(1,5),(2,-1\left)\right\}$. What is $f\left(1\right)$?

Is the set of ordered pairs $\left\{(1,2),(2,3),(1,4)\right\}\}$ a function? Choose the correct statement.

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 best defines the composition f∘g of two functions f and g and correctly identifies the inside and outside functions?

Let $f\left(x\right)=\frac{1}{x-2}$ and $g\left(x\right)=\sqrt{x}$. Find the domain of $(f\circ g)\left(x\right)$ expressed in interval notation.

Let $f\left(x\right)=\sqrt{\frac{x-3}{x-5}}$ and $g\left(x\right)=x^2-1$. Form the function: $(f\circ g)\left(x\right)$ and determine what the domain will be making sure to express your answer in interval notation. Also, be sure to explicitly list any excluding isolated points if needed.