Applying Linear Functions & Analyzing Functions & Graphs

Front

What is a linear function?

Back

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function, indicating how much the dependent variable (y) changes for a unit change in the independent variable (x).

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What is the y-intercept in a linear function?

Back

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How do you determine if one linear function is greater than another?

Back

To determine if one linear function is greater than another, compare their slopes and y-intercepts. The function with the higher slope will increase faster.

Front

What does it mean if two linear functions have the same slope?

Back

If two linear functions have the same slope, they are parallel and will never intersect, meaning they have the same rate of change.

Front

How can you find the balance in Sam's account after 5 weeks?

Back

Front

What does the graph of a linear function look like?

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The graph of a linear function is a straight line that can slope upwards, downwards, or be horizontal, depending on the slope value.

Front

What is the significance of the initial value in a linear function?

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The initial value, or y-intercept, indicates the starting point of the function before any changes occur due to the slope.

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How do you interpret the graph of a function in real-life scenarios?

Back

Interpreting the graph of a function involves understanding what the axes represent and how the changes in one variable affect the other in a real-life context.

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What does it mean if a graph is increasing?

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If a graph is increasing, it means that as the independent variable (x) increases, the dependent variable (y) also increases.