Home
Class 12
MATHS
Consider the function f(x)={{:(ax-2,"f...

Consider the function
`f(x)={{:(ax-2,"for",-2ltxlt-1),(-1,"for",-1lexle1),(a+2(x-1)^(2),"for",1lt1xlt2):}`
What is the value of a which f(x) is continuous at `x=-1` and x=1?

Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the function f(x)={{:(ax-2" for "-2ltxlt-1),(-1" for "-1lexle1),(a+2(x-1)^(2)" for "1ltxlt2):} What is the value of a for which f(x) is continuous at x=-1 and x=1 ?

Consider the function f(x)={2x+3,xlt=1-x^2+6,x >1

Consider the function f(x)={2x+3,xlt=1-x^2+6,x >1

Consider the function f(x)={2x+3,xlt=1 -x^2+6,x >1

The function f(x)={:{(x+2,ifxlt-1),(x^(2),if-1lexle1),((x-2)^(2),ifxge1):}

If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1lexle1 ), (x-1 " if" -3ltxlt-1):} find the values of f(3)

If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1lexle1 ), (x-1 " if" -3ltxlt-1):} find the values of f(0)

If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1lexle1 ), (x-1 " if" -3ltxlt-1):} find the values of f(-1.5)