Algebra 2 - Final Exam Review (Unit 1-9)

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Back

As x approaches infinity, f(x) approaches infinity. As x approaches negative infinity, f(x) also approaches infinity.

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Back

The discriminant is negative, indicating that there are no real solutions.

Front

What is the domain and range of the piecewise function that is defined for all real numbers?

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Domain: (-∞, ∞), Range: [0, ∞)

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What is the vertex form of the quadratic function represented by the graph?

Back

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If a function has zeros at 2, -3, and 6i, what are the x-intercepts?

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The x-intercepts are (-3, 0), (2, 0), (6i, 0), and (-6i, 0).

Front

Define the term 'discriminant' in the context of quadratic equations.

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What is the significance of the leading coefficient in a polynomial function?

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The leading coefficient determines the end behavior of the polynomial function.

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How do you find the vertex of a quadratic function in standard form?

Back

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What is the relationship between the roots of a polynomial and its x-intercepts?

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The roots of a polynomial are the values of x that make the polynomial equal to zero, which correspond to the x-intercepts on the graph.

Front

Explain what a piecewise function is.

Back

A piecewise function is defined by different expressions based on the input value, often used to describe functions that have different behaviors in different intervals.