(Solved): Question 1-Interval Notation i. For each inequality, draw the graph and write down each interval n ...

Question 1-Interval Notation i. For each inequality, draw the graph and write down each interval notation. a. \( x<-3 \) [3 marks] b. \( x \geq 7 \) [3 marks] ii. For each interval notation, draw its graph and write its equality: a. \( [-4, \infty) \) [ 3 marks] b. \( (-\infty, 5] \) [3 marks] i. Evaluate the functions below: a. The function \( g \) is such that \( g(x)=32-4 x \). Solve \( g(x)=44 \). [2 marks] b. \( f(x)=\left\{\begin{array}{r}4, x<5 \\ 6 x-4, x \geq 5\end{array}\right. \) for: i) \( f(-2) \) ii) \( f(6) \) [2 marks] ii) Evaluate the limits of these functions: a) \( \lim _{x \rightarrow 4} 2 x-5 \) [1 mark] b) \( \lim _{x \rightarrow 2} 13 \) [ 1 mark]