Polynomial and Rational Functions

What is the slope of the linear function represented by the equation $y = 3x - 4$?

For what type of function would you expect to find an instantaneous rate of change that is also a function when analyzed across its domain?

Given a quadratic inequality represented with the equation $k(r) = r^2 + 6r + 8$, what is the least possible integer value of r that satisfies the inequality?

If a quadratic function opens upwards, what is the sign of its leading coefficient?

Which unit is typically used to measure angles within the context of trigonometric functions?

What feature on a graph represents a continuous function at point 'a'?

If a linear function's graph passes through points (2,5) and (4,9), what is its rate of change?

What happens to the average rate of change of a quadratic function as you get closer to the vertex from either direction on the graph?

For a quadratic function $f(x) = ax^2 + bx + c$, which determines if the parabola opens up or down?

Consider $P(T) = T^2$. If we want to investigate whether or not this polynomial is continuously increasing/decreasing over the entire real line, how should we go about doing so?