Draw the graph of the function y = 3sin(x - \frac{\pi}{6}). Graph f(x) = tan(x). (a) How is the graph of y = 2 sin x related to the graph of y = sin x? Use your answer to sketch the graph of y = 2 sin x. (b) How is the graph of y = 1 + \sqrt{x} re...
The following examples are based on this graph of a piecewise function which has a jump at x = 1: Example question 1: What is the limit of f(x) as x approaches 2? Solution:“f(x)” is the function value at 2 (a.k.a. the y-value). We want to know what’s happening to the...
Step 2: Draw a graph. Put the mean you identified in Step 1 in the center. Put the number associated with “between” on the graph (take a guess at where the numbers would fall–it doesn’t have to be exact). For example, if your mean was $100, and you were asked for “hourly...
Note that graph transformation occurs when we change some values in the original function. Answer and Explanation: We are given the function f(x)=sinx. We wish to graph the given function. So, we have: Solution: The graph of this function in ...
To improve your score, you need to: master the types of questions that the SAT tests, like the one above draw on the correct concepts you already know to solve the questions practice on a lot of questions so you learn from your mistakes ...
There is something appealing about letting the expansion history draw its own curve, so to speak. And it will turn up later. This happens in a formula where we actually have to multiply the normalized a(t) by 1.3 to undo the damage of divided by 1.3. When you see "1.3a...
A set of points is collinear if you can draw one line through them all. The word literally means “together on a line.” Two points are always collinear: no matter where you draw the two points, you can always draw a straight line between them. A general way to write this is: “Poi...
Draw the curve or line of the graph. Sketch the Graph on the Cartesian Plane: Example Example question #1:Sketch the graph of y = x2– 2 on the Cartesian plane. Step 1:Choose your x-values. It’s up to you what values to choose for your x-values, but pick numbers that are easy...
Sketch the graph ofy=sin(π−c)forc=−π/4, 0, andπ/4. How does the value ofcaffect the graph? Function Transformation: Function transformations give us sets of mathematical operations we can perform on functions to shift or distort their gra...
The following examples are based on this graph of a piecewise function which has a jump at x = 1: Example question 1: What is the limit of f(x) as x approaches 2? Solution:“f(x)” is the function value at 2 (a.k.a. the y-value). We want to know what’s happening to the...