Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Evaluate the function [tex]f(x) = -3x^2 - 7x + 4[/tex] for the given value:

[tex]f(-2) = [/tex]

A. 2
B. 6
C. 26
D. 54


Sagot :

To evaluate the function [tex]\( f(x) = -3x^2 - 7x + 4 \)[/tex] at [tex]\( x = -2 \)[/tex], follow these steps:

1. Substitute [tex]\( x = -2 \)[/tex] into the function [tex]\( f(x) \)[/tex].

[tex]\[ f(-2) = -3(-2)^2 - 7(-2) + 4 \][/tex]

2. Compute the square of [tex]\(-2\)[/tex].

[tex]\[ (-2)^2 = 4 \][/tex]

3. Multiply [tex]\(-3\)[/tex] by the result of the squared term.

[tex]\[ -3 \cdot 4 = -12 \][/tex]

4. Multiply [tex]\(-7\)[/tex] by [tex]\(-2\)[/tex].

[tex]\[ -7 \cdot (-2) = 14 \][/tex]

5. Add these results together with the constant term [tex]\(+ 4\)[/tex].

[tex]\[ -12 + 14 + 4 \][/tex]

6. Perform the addition step-by-step:

- First, combine [tex]\(-12\)[/tex] and [tex]\(14\)[/tex]:

[tex]\[ -12 + 14 = 2 \][/tex]

- Next, add [tex]\(2\)[/tex] and [tex]\(4\)[/tex]:

[tex]\[ 2 + 4 = 6 \][/tex]

Therefore, the value of the function [tex]\( f(-2) \)[/tex] is [tex]\( 6 \)[/tex]. The correct answer is:

[tex]\[ 6 \][/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.