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YES!
Simply by taking a quick glance at a graph, you can see several characteristics of the function: local minimums/maximums, points of inflection, end behavior, asymptotes, etc etc...
If you wanted to find these without the graph, you would have to do some math which might end up being very time consuming for very complicated functions. Even worse: what if the function is not elementary, and you can't express it in terms of finite arithmetic operations?
What else can I help you with?
Find the amplitude and period of the functions and sketch their graphs y equals sin -x?
y = sin(-x)Amplitude = 1Period = 2 pi
What is vertical stretch and horizontal stretch?
They are transformations of plane graphs.
What are graphs that cannot represent functions?
Consider the graph of y= +/- sqrt(x). Notice that, for any value of x greater than 0, there are two values of this relation. To be a function a relation has to assign one value in the range to each value in the domain. So this cannot be a function, yet it has a perfectly ordinary graph.
Why is it important that you be able to use series like the Maclaurin to approximate the behavior of various functions?
Using series like the Maclaurin series to approximate functions is important because it simplifies complex calculations, making it easier to analyze and predict the behavior of functions near a certain point (usually around zero). This is especially useful in calculus and numerical methods, where exact solutions might be difficult or impossible to obtain. Additionally, these approximations can help in understanding properties such as continuity, differentiability, and integrability of functions. Overall, they serve as powerful tools in both theoretical and applied mathematics.
Do all functions have integrals?
No, all functions are not Riemann integrable
Why are graphs useful?
Graphs are useful in various ways. They are commonly used in statistics to represent data which can be easily interpreted by other users.
What are the graphs of reciprocal functions?
They are hyperbolae.
Why bar graphs are not useful?
Actually, they are useful. At least in some cases.
What are Bar graphs are useful for representing?
Comparison :)
Why bar graphs are useful for comparing data?
bar graphs are useful for comparing data b/c you cn actually see what the difference is between them.
How are graphs useful to historians?
the historians use graphs to something that happened over . unicorns are fluffy.
What is an advantage of using graphs and diagrams?
An advantage to using graphs and diagrams in presentations is that it is easy for your audience to see what you are describing. Graphs and diagrams help get your point across.
Bar graphs are most useful for representing?
comparisons
When to use graphs in solving equations?
Graphs are particularly useful in solving equations when you want to visualize the behavior of functions and their intersections. They can help identify solutions graphically, especially for nonlinear equations where algebraic methods may be complex. Additionally, using graphs allows for a quick assessment of the number of solutions and their approximate values. Overall, graphs are a valuable tool for understanding the relationships between variables in equations.
Bar graphs are useful for showing?
data of what u want
What are graphs useful?
graphs measure how far something can go and the distance between. that's all I got right now
The unique solution to a system is where the graphs of the functions what?
Where they all intersect.
