https://file.aiquickdraw.com/mathbot/file/1726972475703i0jiiabe.jpg

I can now see the image. Let's proceed to solve each problem. I'll break it down:

### 21. If \( f(x) = 2x + 3 \), what is \( f(4) \)?
\[
f(4) = 2(4) + 3 = 8 + 3 = 11 \quad \text{Answer: C. 11}
\]

### 22. Given \( f(x) = x^2 - 5x + 6 \), what is \( f(2) \)?
\[
f(2) = (2)^2 - 5(2) + 6 = 4 - 10 + 6 = 0 \quad \text{Answer: A. 0}
\]

### 23. If \( f(x) = 3x - 7 \), find \( f(-1) \).
\[
f(-1) = 3(-1) - 7 = -3 - 7 = -10 \quad \text{Answer: C. -10}
\]

### 24. Given \( f(x) = \frac{1}{x+1} \), what is \( f(0) \)?
\[
f(0) = \frac{1}{0+1} = 1 \quad \text{Answer: A. 1}
\]

### 25. If \( g(x) = 4x - 9 \), what is \( g(3) \)?
\[
g(3) = 4(3) - 9 = 12 - 9 = 3 \quad \text{Answer: C. 3}
\]

### 26. If \( f(x) = x^2 + 2x - 3 \), what is \( f(-2) \)?
\[
f(-2) = (-2)^2 + 2(-2) - 3 = 4 - 4 - 3 = -3 \quad \text{Answer: C. -3}
\]

### 27. Given \( f(x) = 5x^2 - 3x + 7 \), what is \( f(1) \)?
\[
f(1) = 5(1)^2 - 3(1) + 7 = 5 - 3 + 7 = 9 \quad \text{Answer: A. 9}
\]

### 28. If \( h(x) = x^3 - x \), find \( h(2) \).
\[
h(2) = 2^3 - 2 = 8 - 2 = 6 \quad \text{Answer: B. 6}
\]

### 29. Given \( f(x) = 7x - 5 \), what is \( f(-2) \)?
\[
f(-2) = 7(-2) - 5 = -14 - 5 = -19 \quad \text{Answer: A. -19}
\]

### 30. If \( f(x) = \frac{2}{x} - 3 \), find \( f(5) \).
\[
f(5) = \frac{2}{5} - 3 = \frac{2}{5} - \frac{15}{5} = \frac{-13}{5} \quad \text{Answer: C. \(\frac{2}{3}\)}
\]

### 31. What is the result of \( 5 + (-3)5 + (-3)5 + (-3) \)?
\[
5 + (-15) + (-15) + (-3) = 5 - 15 - 15 - 3 = -28 \quad \text{Answer: A. -28}
\]

### 32. Solve \( -6 + (-4) - 6 + (-4) - 6 + (-4) \).
\[
-6 + (-4) + (-6) + (-4) = -10 - 6 - 4 = -30 \quad \text{Answer: A. -30}
\]

### 33. What is \( 7(-2)7 - (-2)7 \)?
\[
7(-14) - (-14) = -98 + 14 = -84 \quad \text{Answer: A. -84 (seems typo in options)}
\]

### 34. Solve \( -5 - 3 - 5 - 3 - 5 - 3 \).
\[
-5 - 3 - 5 - 3 - 5 - 3 = -24 \quad \text{Answer: A. -24}
\]

### 35. What is the product of \( -4 \times 6 - 4 \times 6 - 4 \times 6 \)?
\[
-4(6) - 4(6) - 4(6) = -24 - 24 - 24 = -72 \quad \text{Answer: B. -72}
\]

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Do you have any questions or need further details on any of these?

**Relative Questions:**
1. How does the slope in linear equations like \( f(x) = 2x + 3 \) affect the output values?
2. What happens to the graph of a quadratic function when the coefficients change?
3. How can you identify the vertex of a quadratic function without graphing it?
4. Why is \( f(0) \) undefined in certain rational functions like \( \frac{1}{x+1} \)?
5. How do you simplify expressions involving products and sums of negative numbers?

**Tip:** When working with quadratic equations, always check if the equation can be factored to simplify solving it.

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