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Is it true that a continuous function that is never zero on an interval never changes sign on that interval?
Wiki User
∙ 10y ago
Yes.
Wiki User
∙ 10y ago
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Why are the y-values of an exponential growth function either always greater than or less than the asymptote of the function?
The exponential function is always increasing or decreasing, so its derivative has a constant sign. However the function is solution of an equation of the kind y' = ay for some constant a. Therefore the function itself never changes sign and is MORE?
What is another word for the word infinite?
Continuous, never-ending, forever, or unstoppable.
Is The inverse of a function is a function always sometimes or never?
sometimes
A line is an for a function if the graph of the function gets closer and closer to touching the line but never reaches it?
asymptote
How do I write an interval notion and graph it...it is a set of real numbers that would be less than or equal to -4?
For an interval of numbers, two types of brackets are used, [] and (), the first signifies that interval includes the number before/after it and the latter indicate the interval includes everything upto that value.e.g.[0,2] indicates an interval of all real numbers from 0 to 2 including those numbers(-1,6) indicates an interval of all real numbers between -1 and 6 but not -1 and 6 themselves[5,12) indicates an interval of all real numbers from 5 upto but not including 12and (-9,-2] indicates an interval of all real numbers from -2 down to but not including -9.so, an interval of real numbers less than and equal to -4 would be (-­∞,-4], we use a ( for -∞ as, obviously, infinity can never be reached.To graph line intervals, we use a solid line along the interval and use filled circles, •, to signify that the point it is on is included in the interval, and empty circles, ○, to signify the point it is on is not included in the interval. So an interval of [5,12) would be drawn like this,•--------------------○5 6 7 8 9 10 11 12the drawing for (-­∞,-4] would simply be a straight solid line from the end of the negative side of the number line upto -4 with a • to show that -4 is included.
What kind of continuous function can change sign but is never zero?
If the function is continuous in the interval [a,b] where f(a)*f(b) < 0 (f(x) changes sign ) , then there must be a point c in the interval a<c<b such that f(c) = 0 . In other words , continuous function f in the interval [a,b] receives all all values between f(a) and f(b)
What is a countour interval?
interval something that never changes its location
What is a intervals?
interval something that never changes its location
What is an example of a function that is continuous and bounded on the interval a b but does not attain its upper bound?
A function whose upper bound would have attained its upper limit at a bound. For example, f(x) = x - a whose domain is a < x < b The upper bound is upper bound is b - a but, because x < b, the bound is never actually attained.
What are continuous lines?
Continuous lines are ones that never seem to end
What is the difference between a line and an interval?
A line is never ending while a interval has a fixed end and start point.
Which animal never changes its spots?
a leopard never changes its spots
What is the domain of a sine curve?
The domain of the sine function is all real numbers, or (-∞, ∞). Note the curly brackets around this interval, when a domain or range includes positive or negative infinity, it is never inclusive.
How do you tell if a set of numbers is a function or not?
A set of numbers is never a function. A function is something that takes in a number and changes it into another number. For example y+2 takes in a number (y) and adds 2 to it. If y is 4, it produces 6.
What is constant and never changes?
The speed of light in a vacuum never changes.
What number never changes in a neutral atom?
the atomic number never changes
What is the rate of change of the function y equal negative 5?
0. There is no x in your equation so regardless of how you change your input, the output y never changes.
