Algebra 1- Types of Functions

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What is a Linear Function?

Back

A linear function is a function that creates a straight line when graphed. 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 a Quadratic Function?

Back

A quadratic function is a function that creates a parabola when graphed. It has the form f(x) = ax² + bx + c, where a, b, and c are constants.

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What is an Exponential Function?

Back

An exponential function is a function where the variable is in the exponent. It has the form f(x) = a * b^x, where a is a constant and b is the base.

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How do you identify a Linear Function from a table of values?

Back

A linear function will have a constant rate of change between the x and y values.

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How do you identify a Quadratic Function from a table of values?

Back

A quadratic function will show a constant second difference in the y values when the x values are evenly spaced.

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How do you identify an Exponential Function from a table of values?

Back

An exponential function will show a constant ratio between consecutive y values.

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What is the slope in a Linear Function?

Back

The slope (m) in a linear function represents the rate of change of y with respect to x.

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What does the y-intercept represent in a Linear Function?

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

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What is the vertex of a Quadratic Function?

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The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

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What is the axis of symmetry in a Quadratic Function?

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The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.