Question

F (x) = {a+b,
a+bx4
5
When x=2
x= <2,
>2,
=2

Answer 1

Please explain it

Answer 2

a+bx+ 4

Answer 3

Can you try to post the question in a better format
can't understand anything out of this

Answer 4

F(x)= {a+b,
a+bx+4
5
x<2
x=2
x>2
Find value of a and b if the function f given is x=2

Answer 5

It looks like you have a "piecewise" function definition
see http://www.mathsisfun.com/sets/functions-piecewise.html
for examples.

Answer 6

to find a and b we need more info.
For example, do they say the function is "continuous" ?
do they give values for f(0) or f(2) (for example)

Answer 7

Yes function is continuous at x=2

Answer 8

No value is given it starts with f (x)= { like this...

Answer 9

if the function is continuous, then as x->2 the top line
a+b must get close to f(2)
the middle line a+bx+4 is f(2) (or because x=2) a+2b+4 = f(2)
and the last line (for x>2) should also "approach" f(2) as x gets close to 2
(in other words, "near" 2, all three definitions should be the same number)

Answer 10

because the last line says F( 2+(tiny number) )= 5
we expect the middle line
a+2b+4 = 5
and
a+b = 5
that is enough info to solve for a and b

can you do that?

Answer 11

Can u please help? Its an assignment given to be completed in very short time and m not from math field so getting problem..
Please help if u can