Question

a. Graph f(x)=left brace7x−12if x≤3x2if x>3b. Find f(1) and f(5).c. State the domain of the function.

Answer 1

Given:

The function is,

`\begin{gathered} f(x)=7x-12,\text{ x}\leq3 \\ =x^2,x>3 \end{gathered}`

a) The graph of the given function us,

Answer: option B)

b) f(1) and f(5) is,

`\begin{gathered} \text{For x=1,} \\ f(x)=7x-12\text{ , if x}\leq3 \\ f(1)=7(1)-12=-5 \\ \text{For x=5,} \\ f(x)=x^2,\text{ if x>3} \\ f(5)=5^2=25 \end{gathered}`

Answer:

`\begin{gathered} f(1)=-5 \\ f(5)=25 \end{gathered}`

c) the domain of the function is,