2024-2025 Midterm Final

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)
• (-3,-1)(-4,-2)(-8,-6)
• (1,3)(2,4)(6,8)
• (-1,-3)(-2,-4)(-6,-8)

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5
• f^-1(x)=(x+5)/3
• f^-1(x)=3y-5
• f^-1(x)=3y+5

Over which interval is the function decreasing?

• (0, 3)

• (13, 18)

• (3, 13)

• (.75, 2.5)

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: x ≥ -4

  Range: All real numbers

• Domain: All real numbers

  Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5

  Range: y ≥ -4

Simplify:

(2 + 3i)(2 - 3i)

• 4 + 9i

• 13

• -5

• -5i

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Which of the following graphs represents the quadratic function above?

• 
• 
• 
• 

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Simplify the expression.

 $\left(-3a^4+3+8a^2\right)-\left(13a^4-7a-2a^2\right)$  

•  $\left(-16a^4+5a^2+18a+3\right)$  

•  $-16a^4+7a+3$  

•  $-16a^4+10a^2+7a+3$  

•  $-16a^4+18a+3$