Question

CAN ANYONE HELP ME ?????

Find the numbers at which f is continuous...
f(x)=2x+3

Answer 1

at all values of x, f(x) is continuous...

Answer 2

how do u know that though?

Answer 3

because f(x) is a linear equation

Answer 4

and linear equations have a domain of all real #'s and does not have discontinuities (if it isn't rational)

Answer 5

oh ok what about this one F(x)=2x+5/x^2-4

Answer 6

well there are discontinuites at x=2 and -2 because you cannot divide a number by 0
so where do you think the numbers are continuous?

Answer 7

thats the thing i dont quite understand how to determine if a continuity is continuous....

Answer 8

well i just told you that x cannot be -2 and 2..meaning that the graph is discontinuous when it approaches these 2 points...so the graph is continuous on all values of x except 2,-2...

Answer 9

hmm

Answer 10

do you know what continuity means? @Lulu212

Answer 11

that there are no breaks, gaps, or jumps in a funtion that is graphed????

Answer 12

yep

Answer 13

next question
do you know what are discontinuities are?

Answer 14

are they the numbers that dont allow a funtion to be continuous??

Answer 15

yes but can you be a little more specific? like what causes discontinuities?

Answer 16

i dont know that one...

Answer 17

i just looked it up, its when function can not be evluated by just plugging in values

Answer 18

ok

Answer 19

discontinuities are vertical asymptotes, slant asymptotes and "holes" of an equation
are you familiar with these terms?

Answer 20

yes

Answer 21

ok if you are then can you tell me what kind of discontinuities x=2 and -2 represent in F(x)=2x+5/x^2-4