Answer to Question #303461 in Calculus for Samantha Nicole Co

Question

Let f (x)= x²-4 for x<3

7 for x=3

2x+4 for x>3

a.)f(0)=

b.)f(3)=

c.)f(5)=

d )lim f(x) as x approaches to 0=

e.)lim f(x) as x approaches to 3 from left=

f.)lim f(x) as x approaches to 3 from right=

Answer 1

a) $f(0)=0^2-4=-4$

b) $f(3)=7$

c) $f(5)=2*5+4=14$

d) $\lim_{x\to 0}=f(0)=0^2-4=-4$

e) $\lim_{x\to 3^-}=\lim_{x\to3^-}(3^2-4)=5$

f) $\lim_{x\to 3^+}=\lim_{x\to 3^+}(2*3+4)=10$