[tex]f(x)=3x^2+7x-4[/tex]
To evaluate the above function, here are the steps.
1. Replace the x-variable in the function with a given x-value. For example, in letter a, we have x = -3. Let's plug this in.
[tex]f(-3)=3(-3)^2+7(-3)-4[/tex]
2. Next, solve x². In this case, we have (-3)² and the result is 9.
[tex]f(-3)=3(9)+7(-3)-4[/tex]
3. Simplify each term in the function.
[tex]f(-3)=27-21-4[/tex]
4. Lastly, simplify the whole function by subtracting the terms.
[tex]f(-3)=2[/tex]
Hence, f(-3) = 2. The function is 2 when x = -3.
For the rest of the given x-values, the same steps above are to be followed to evaluate the function.
b. At x = -1
[tex]\begin{gathered} f(-1)=3(-1)^2+7(-1)-4 \\ f(-1)=3(1)+7(-1)-4 \\ f(-1)=3-7-4 \\ f(-1)=-8 \end{gathered}[/tex]
Hence, f(-1) = -8. The function is -8 when x = -1.
