piecewise functions... f(x)= x^2+2x if x is less than or equal to -1 x if -1is less than or equal to x less than or equal to1 -1 if x greater than 1
what are we supposed to do with the piecewise function?
evaluate the piecewise defined function at the indicated values.
what are the indicated values? did they give any values to x?
do you want to find whether its continuous and differentiable??
neither.... i think its less simple than that... think of it as basic precal.
that's all the book gives me....
hmm...well usually it will say something like, "find the value of the piecewise function at x = -5" So then we have to figure out what interval -5 is in, and apply the correct piece of the function. Since -5 < -1, the correct piece is the x^2+2x and plugging in -5 gives: \[(-5)^2+2(-5) = 25-10 = 15\]
If the question had asked what is the value at x = 0, we would use the function x since -1 < 0 < 1
Join our real-time social learning platform and learn together with your friends!