Use the quadratic function \( f(x)=2 x^{2}+4 x-9 \) to answer the following questions. 9) State the domain and range in interval notation. The domain is \( \square \). (Use integers or fractions for any numbers in the expression.) The range is

QUESTION 3 3.1 Given the number pattern \( 2 ; y ; 8 ; \ldots \) Determine the value of \( y \) if: 3.1.1 The number pattern is linear. 3.1.2 The number pattern is quadratic and \( T_{4}=2+5 y \). 3.2 In a linear number pattern, the \( 19^{\text {th }} \) term is 40 and the \( 7^{\text {th }} \) term is 16 . Thus, determine the first two terms. 3.3 The general term of a quadratic number pattern is \( T_{n}=n^{2}+2 n-15 \). Determine which term has a value of 20 .

3. \( 3 x(4 x-5) \)

-11) \( \frac{22^{4} \cdot 8^{4}}{121^{4} \cdot 4^{6}}= \)

Solve for \( r \). \( 3^{r}+3^{3-r}=28 \)

9. Use any method to solve the system: \( \left\{\begin{array}{c}x^{2}+y^{2}=9 \\ 9 x^{2}+4 y^{2}=36\end{array}\right. \)