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sha0403
 2 years ago
2x+4 if x<1
X^2+1 if 1≤x<2
F(x) 3x if 2<x<4
3 if x=4
72x if x>4
help me to find the value of x where the function f(x) is continuous.
sha0403
 2 years ago
2x+4 if x<1 X^2+1 if 1≤x<2 F(x) 3x if 2<x<4 3 if x=4 72x if x>4 help me to find the value of x where the function f(x) is continuous.

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empraptor
 2 years ago
Best ResponseYou've already chosen the best response.1Does the question ask for values where f(x) is not continuous? I ask because there are an infinite number of values for x at which f(x) is continuous.

sha0403
 2 years ago
Best ResponseYou've already chosen the best response.0no..it just ask where the function is continuous...

empraptor
 2 years ago
Best ResponseYou've already chosen the best response.1Maybe they are limiting the question to the 3 values (1,2 and 4) that are at the boundaries of the subdomains. In that case, what you could do is draw a graph of the function and see at which of these three points the graph is continous.

sha0403
 2 years ago
Best ResponseYou've already chosen the best response.0how to draw the graph? can u explain to me?

empraptor
 2 years ago
Best ResponseYou've already chosen the best response.1(Correction: the subdomain boundaries are 1, 2 and 4.) Draw the line y=2x+4 to the left of x=1. Draw the parabola \[y=x^2+1\] for x between 1 and 2. Draw the line y=3x for x between 2 and 4. Draw a point at y=3 for x=4. Draw line y=72x to the right of x=4.

sha0403
 2 years ago
Best ResponseYou've already chosen the best response.0ok can u explain me the feature of continuous graph?

empraptor
 2 years ago
Best ResponseYou've already chosen the best response.1A function that's continuous at a particular point usually looks "connected" at that point when its graph is drawn.

sha0403
 2 years ago
Best ResponseYou've already chosen the best response.0ok i will try..btw thank u for help me.. =)

empraptor
 2 years ago
Best ResponseYou've already chosen the best response.1Keep in mind that even if two pieces of the function look like they come together at some value of x, the function is not be continuous if just one point is not connected there.
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