NC Math I EOC Review - Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input and f(x) is the output.

Front

What is the general form of an exponential function?

Back

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

Front

How do you determine the growth rate of a function?

Back

The growth rate of a function can be determined by analyzing the base of the exponential function. If b > 1, the function grows; if 0 < b < 1, it decays.

Front

What does the notation f(x) = 3(2)^x represent?

Back

This notation represents an exponential function where the initial value is 3 and the base of the exponent is 2, indicating that the function grows by a factor of 2 for each increase in x.

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What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

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

Back

To find the x-intercepts of a quadratic function, set f(x) = 0 and solve for x using factoring, completing the square, or the quadratic formula.

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What is the significance of the slope in a linear function?

Back

The slope in a linear function (y = mx + b) represents the rate of change of y with respect to x. A positive slope indicates an increase, while a negative slope indicates a decrease.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2, then f(x1) < f(x2).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.