EOC Review (Unit 1)

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that indicates one quantity is larger or smaller than another, often expressed using symbols such as <, >, ≤, or ≥.

Front

How do you interpret the absolute value inequality |m - 3000| ≤ 500?

Back

This inequality means that the value of m (salary) must be within 500 units of 3000, which translates to the range 2500 ≤ m ≤ 3500.

Front

What is the restricted domain of a function?

Back

The restricted domain of a function is the set of input values (x-values) for which the function is defined, often due to limitations such as square roots or logarithms.

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Back

Front

What does the notation f^{-1}(x) represent?

Back

The notation f^{-1}(x) represents the inverse function of f(x), which undoes the effect of f.

Front

How do you calculate 4f(2) if f(2) = 1?

Back

4f(2) = 4 * 1 = 4.

Front

What is the value of f(-2) if f(x) = x^2 + 3?

Back

f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

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What is the result of 2f(6) - f(-2) if f(6) = 4 and f(-2) = 7?

Back

2f(6) - f(-2) = 2*4 - 7 = 8 - 7 = 1.

Front

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

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

What is the formula for finding the vertex of a quadratic function in standard form?

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