Which graph represents the piecewise-defined function?
1 answer:
Answer: The correct option is 1.
Explanation:
The given piecewise function is,
It means if x<0, then
If , then
Since the f(x) is defined for x<0 and , therefore the function f(x) is not defined for
.
From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.
Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for , hence the first option is correct.
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Y=f(g(x)) and 
our aim is to express f as a function of g, where g is a function itself, of x.
in the expression tex]y= \frac{8}{x^{2}}+4 [/tex] we may notice 2 functions:
the squaring x function, which may well be our g:
and the "8 divided by x, +4" function:
check :
because whatever the input of f is, it divides it from 8, and adds 4 to the division.
since,,
Answer:
our aim is to express f as a function of g, where g is a function itself, of x.
in the expression tex]y= \frac{8}{x^{2}}+4 [/tex] we may notice 2 functions:
the squaring x function, which may well be our g:
and the "8 divided by x, +4" function:
check :
because whatever the input of f is, it divides it from 8, and adds 4 to the division.
since,
Answer: