https://file.aiquickdraw.com/mathbot/file/17374178294401m2qspk1.jpg

Here are the solutions for questions 1 through 18:

1) \( f(x) = -4x - 3 \), find \( f(-2) \):  
   \[
   f(-2) = -4(-2) - 3 = 8 - 3 = 5
   \]

2) \( f(x) = 3x \), find \( f(-1) \):  
   \[
   f(-1) = 3(-1) = -3
   \]

3) \( f(x) = -4x + 2 \), find \( f(-1) \):  
   \[
   f(-1) = -4(-1) + 2 = 4 + 2 = 6
   \]

4) \( f(x) = -x + 5 \), find \( f(6) \):  
   \[
   f(6) = -6 + 5 = -1
   \]

5) \( f(x) = x^2 - 10x + 21 \), find \( f(4) \):  
   \[
   f(4) = 4^2 - 10(4) + 21 = 16 - 40 + 21 = -3
   \]

6) \( f(x) = -4x - 6 \), find \( f(0) \):  
   \[
   f(0) = -4(0) - 6 = -6
   \]

7) \( f(x) = x^2 - 6x + 3 \), find \( f(2) \):  
   \[
   f(2) = 2^2 - 6(2) + 3 = 4 - 12 + 3 = -5
   \]

8) \( f(x) = -x + 4 \), find \( f(6) \):  
   \[
   f(6) = -6 + 4 = -2
   \]

9) \( f(x) = 3x - 4 \), find \( f(-1) \):  
   \[
   f(-1) = 3(-1) - 4 = -3 - 4 = -7
   \]

10) \( f(x) = x^2 - 10x + 24 \), find \( f(7) \):  
   \[
   f(7) = 7^2 - 10(7) + 24 = 49 - 70 + 24 = 3
   \]

11) \( f(x) = -2x - 5 \), find \( f(5) \):  
   \[
   f(5) = -2(5) - 5 = -10 - 5 = -15
   \]

12) \( f(x) = -4x + 1 \), find \( f(0) \):  
   \[
   f(0) = -4(0) + 1 = 1
   \]

13) \( f(x) = -3x + 2 \), find \( f(-2) \):  
   \[
   f(-2) = -3(-2) + 2 = 6 + 2 = 8
   \]

14) \( f(x) = -3x - 1 \), find \( f(0) \):  
   \[
   f(0) = -3(0) - 1 = -1
   \]

15) \( f(x) = -4x - 1 \), find \( f(-2) \):  
   \[
   f(-2) = -4(-2) - 1 = 8 - 1 = 7
   \]

16) \( f(x) = x^2 - 8x + 16 \), find \( f(2) \):  
   \[
   f(2) = 2^2 - 8(2) + 16 = 4 - 16 + 16 = 4
   \]

17) \( f(x) = -4x - 4 \), find \( f(-1) \):  
   \[
   f(-1) = -4(-1) - 4 = 4 - 4 = 0
   \]

18) \( f(x) = 2x - 4 \), find \( f(-2) \):  
   \[
   f(-2) = 2(-2) - 4 = -4 - 4 = -8
   \]

Would you like a breakdown of any of these solutions?  

Here are five related questions to deepen your understanding:
1. How do you determine if a function is linear or quadratic?
2. What happens when you substitute a negative number into a function with an exponent?
3. How do you solve functions with fractions?
4. How do you graph quadratic functions from an equation?
5. What is function notation, and why is it useful?

**Tip:** Always double-check your substitution to avoid calculation errors.

Explore step-by-step solutions to evaluating functions and solving equations, including examples of linear and quadratic functions. Perfect for students in Grades 8-10 learning algebra concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation