Question

attempt 1: 10 attempts remaining. find the limit of the function at the given point: (limlimits_{x \to -12} (3x^2 + 5x - 26) =)

Explanation:

Step1: Substitute \( x = -12 \) into the function

For the function \( f(x) = 3x^2 + 5x - 26 \), we substitute \( x=-12 \) into each term. First, calculate \( x^2 \): \( (-12)^2 = 144 \). Then, calculate \( 3x^2 \): \( 3\times144 = 432 \). Next, calculate \( 5x \): \( 5\times(-12)= -60 \).

Step2: Combine the terms

Now, substitute these values back into the function: \( 3x^2 + 5x - 26=432-60 - 26 \). First, \( 432-60 = 372 \), then \( 372-26 = 346 \).

Answer:

\( 346 \)