4. Sketch the graph of \( f(x)=3 x-x^{2} \) and find a. the domain and range b. \( f(q) \) c. \( f\left(x^{2}\right) \) d. \( \frac{f(2+h)-f(2)}{h}, h \neq 0 \).

What is the range of the exponential function \( y=-5.3^{x+2}-2 \) ? a) \( \{y / y>2\} \) b) \( \{y / y<-2\} \) c) \( \{y / y<2\} \) d) \( \{y / y<-5\} \)

Find the unit vector that has the same direction as the vector \( v \). \[ v=13 \mathbf{i}-5 \mathbf{j} \] The unit vector that has the same direction as the vector \( v=13 \mathbf{i}-5 \mathbf{j} \) is (Simplify your answer, including any radicals. Type your answer in the form ai + bj. Us expression. Rationalize all denominators.)

What is the range of the exponential function \( y=-5.3^{x+2}-2 \) ? a) \( \{y / y>2\} \) b) \( \{y / y<-2\} \) c) \( \{y / y<2\} \) d) \( \{y / y<-5\} \)

\( f(x)=x^{2}-1 \) intervalo \( [1,4] \)

The range of the function \( f: f(x)=\frac{2 x^{2}-2 x}{x-1} \) equals ...