2024-2025 Midterm Final Review

Front

What are the coordinates of the y-intercept?

Back

The coordinates of the y-intercept are (0, -3).

Front

What is the range of the function f(x) = -2x^2 + 3?

Back

The range of the function is [-2, infinity).

Front

Subtract the complex numbers: (8 + 7i) - (6 + 3i)

Back

The result is 2 + 4i.

Front

Simplify the expression: -3x^2(7x^2 - x + 4)

Back

The simplified expression is -21x^4 + 3x^3 - 12x^2.

Front

What does i^2 equal?

Back

i^2 equals -1.

Front

Define the y-intercept in a linear function.

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the definition of range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract the real parts and the imaginary parts separately.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the formula for the difference of squares?

Back

The difference of squares formula is a^2 - b^2 = (a - b)(a + b).