Unit 4 & Unit 5 Review

Front

What is the range of a set of values?

Back

The range is the difference between the highest and lowest values in a set. For example, in the set {-4, 0, 1, 3}, the range is 3 - (-4) = 7.

Front

What is the vertex of a quadratic function in vertex form?

Back

The vertex of a function in the form y = a|x-h|+k is the point (h, k). For example, for y=2|x-3|+1, the vertex is (3, 1).

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method). For example, (2n + 2)(6n + 1) = 12n^2 + 14n + 2.

Front

What is the product of powers property in exponents?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents. For example, x^2 ⋅ x^5 = x^(2+5) = x^7.

Front

What is the quotient rule in calculus?

Back

The quotient rule states that if you have a function that is the quotient of two functions, f(x) = g(x)/h(x), then the derivative is f'(x) = (g'(x)h(x) - g(x)h'(x))/[h(x)]^2.

Front

Define the term 'vertex' in the context of a parabola.

Back

The vertex is the highest or lowest point of a parabola, depending on its orientation. It is the point where the parabola changes direction.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or solve.

Front

What is the significance of the absolute value in a function?

Back

The absolute value function, denoted |x|, represents the distance of x from 0 on the number line, always yielding a non-negative result.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set y = 0 and solve the equation ax^2 + bx + c = 0 using factoring, completing the square, or the quadratic formula.