Question

Evaluate the piecewise function below for f(1):

Answer 1

We need to find f(1)

f(1) means x=1

Now we look at the three inequalities and choose the one where x=1 satisfies

x<=-1 , -1<x<1  and x>=1

x=1 satisfies the inequality x>=1

so we use the third function to find f(1)

$f(x) = 2x^2 + 3$

We plug in 1 for x and find f(1)

$f(1) = 2(1)^2 + 3$= 2 + 3 = 5

f(1) = 5