Mathematics, 30.07.2019 03:40, Baseball4744

How can you use an equation to make a prediction from a pattern

Answers: 1

Show answers

Answers

To use an equation to make a prediction from a pattern, you can first figure out the rate of change to figure out how much the pattern is increasing or decreasing. in a linear equation, this would be the m value or the slope of the equation. then, you would have a starting point which is the value at which the pattern starts. in a linear equation, this is the b value or the y-intercept. then, the x value would be multiplied to the rate of change and this x value represents the value you want to predict in the pattern. if you put this all together, your equation would look something like this format: y=mx+b

answered: Guest

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

Me if you can and if you finished this lesson on edg- comment you.

answered: Guest

108

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:50, gshreya2005

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Answers: 2

continue

Mathematics, 21.06.2019 18:50, rosas8

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Answers: 2

continue

Mathematics, 22.06.2019 00:20, dondre54

In the next 10 years, how do you think hipaa guidelines will affect the roles, responsibilities and tools of a medical transcriptionist

Answers: 1

continue

Mathematics, 22.06.2019 00:50, yasminothman02

Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and c, as shown below: what is the distance between the walls?

Answers: 2

continue

Do you know the correct answer?

How can you use an equation to make a prediction from a pattern...