Question

a. Graph f(x)=left brace4x−3if x≤3x2if x>3b. Find f(2) and f(4).c. State the domain of the function.

Answer 1

Part a

the graph is the option D

Part b

f(2)

For x=2 the equation of the function is

f(x)=4x-3

substitute

f(2)=4(2)-3

f(2)=5

f(4)

For x=4 the equation of the function is

f(x)=x^2

f(4)=4^2

f(4)=16

Part c

the domain of the function is all real numbers (option D)

interval (-infinite, infinite)