Calculate the correct matching value for the function below.

Question

For f(x) = {-3x²+2,  x<-1}

                 {x+7,  x≥-1}             and x = -2, find y.

Answer 1

You have been given a piecewise function definition, and you are to evaluate it when x = -2.

 

Since -2 falls into the category "x<-1, use the expression -3x²+2 for the calculation.

 

If you had been given x = 0 or -¼ or anything greater than -1, then you would evaluate x+7 to get the function value.