<span><span><span><span>The word "slope" may also be referred to as "gradient", "incline" or "pitch", and be expressed as:
A special circumstance exists when working with straight lines (linear functions), in that the "average rate of change" (the slope) is </span>constant.<span> No matter where you check the slope on a straight line, you will get the same answer.</span> </span></span><span><span><span> Non-Linear Functions:</span>When working with <span>non-linear functions, </span>the "average rate of change" is not constant.
The process of computing the "average rate of change", however, remains the same as was used with straight lines: two points are chosen, and is computed.<span>FYI: </span>You will learn in later courses that the "average rate of change" in non-linear functions is actually the slope of the secant line passing through the two chosen points. A secant line cuts a graph in two points.</span></span></span>
When you find the "average rate of change" you are finding the rate at which (how fast) the function's y-values (output) are changing as compared to the function's x-values (input).
When working with functions (of all types), the "average rate of change" is expressed using<span>function notation.</span>
Answer:
she slept 27 minutes
Step-by-step explanation:
since the clock shows 3:30
you have to subtract 3:30 with 3:03
you get 27 minutes
Answer:
Step-by-step explanation:
6m is the answer
A straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line.
Answer:
The range of y = ex is all numbers greater than 0, so since the function has been shifted up 1, the new range of the function is all numbers greater than 1. Since the argument of any log must be greater than 0, (x-1)/2 > 0. Thus x - 1 > 0, so x > 1