S1 Final Exam

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What is a linear function?

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

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What is an exponential function?

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An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent. The graph of an exponential function shows rapid growth or decay.

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What does discrete data mean?

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Discrete data refers to countable data that can take on only specific values. For example, the number of cars washed is discrete because you can only wash whole cars.

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What does continuous data mean?

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Continuous data refers to data that can take on any value within a given range. For example, the height of a person is continuous because it can be measured to any degree of precision.

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What is the general form of an exponential function?

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The general form of an exponential function is f(x) = a * b^x, where a is a constant, b is the base of the exponential, and x is the exponent.

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How can you identify a linear function from its graph?

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A linear function can be identified by its straight-line graph, which has a constant slope and does not curve.

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How can you identify an exponential function from its graph?

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An exponential function can be identified by its curve that either rises or falls rapidly, showing a constant percentage change.

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What is the slope of a linear function?

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The slope of a linear function is the ratio of the change in y to the change in x, often represented as 'm' in the equation f(x) = mx + b.

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What is the y-intercept of a linear function?

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The y-intercept of a linear function is the point where the graph intersects the y-axis, represented by 'b' in the equation f(x) = mx + b.