Question

Evaluate the following function at the given x values. Just a and b. (Pic attached)

Answer 1

`f(x)=3x^2+7x-4`

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.

`f(-3)=3(-3)^2+7(-3)-4`

2. Next, solve x². In this case, we have (-3)² and the result is 9.

`f(-3)=3(9)+7(-3)-4`

3. Simplify each term in the function.

`f(-3)=27-21-4`

4. Lastly, simplify the whole function by subtracting the terms.

`f(-3)=2`

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

`\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}`

Hence, f(-1) = -8. The function is -8 when x = -1.