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What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

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What is an exponential function?

Back

An exponential function is a mathematical function of the form y = a(b^x), where a is a constant, b is the base (a positive real number), and x is the exponent. It shows rapid growth or decay.

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What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How can you identify a linear equation from its graph?

Back

A linear equation will produce a straight line when graphed. The slope is constant, and it has a y-intercept.

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What does the y-intercept represent in a function?

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The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of y when x = 0.

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What is the general form of a quadratic equation?

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

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What is the difference between linear and exponential growth?

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Linear growth increases by a constant amount, while exponential growth increases by a percentage of the current value, leading to faster growth over time.

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What is the vertex of a quadratic function?

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The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola (opening upwards or downwards).

Front

How do you find the equation of an exponential function from a table of values?

Back

To find the equation of an exponential function from a table, identify the base by examining the ratio of consecutive y-values and use the form y = a(b^x) to determine a.

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What is the standard form of a linear equation?

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The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.