FLASHCARD 3-1: Interpreting & Finding X & Y Intercepts

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Back

Front

What are the x- and y-intercepts of the graph where x-intercept is (5,0) and y-intercept is (0,5)?

Back

x-intercept: (5,0), y-intercept: (0,5). The x-intercept occurs where y=0 and the y-intercept occurs where x=0.

Front

True or False: The x-intercept of a function ALWAYS occurs where y is equal to zero.

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True. The x-intercept is defined as the point where the graph intersects the x-axis, which occurs when y=0.

Front

What does the y-intercept represent in the context of a graph showing the height of a burning candle?

Back

The y-intercept represents the original height of the candle before it starts burning.

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Front

What is the definition of an x-intercept?

Back

An x-intercept is the point where a graph crosses the x-axis, meaning the value of y is zero at that point.

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What is the definition of a y-intercept?

Back

A y-intercept is the point where a graph crosses the y-axis, meaning the value of x is zero at that point.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept, set x=0 in the equation and solve for y.

Front

How do you find the x-intercept from an equation?

Back

To find the x-intercept, set y=0 in the equation and solve for x.

Front

What is the significance of the intercepts in a linear equation?

Back

Intercepts provide key points that help in graphing the linear equation and understanding its behavior.