Graphing Functions (Leaving Cert Mathematics): Quizzes

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Graphing Linear Functions
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In the linear function form y=mx+cy = mx + c, what does mm represent?

The slope of the line

In the linear function form y=mx+cy = mx + c, what does cc represent?

The y-intercept

What characteristic do linear functions always have between consecutive output values?

Constant first difference

What does the constant first difference between consecutive y-values equal?

The slope of the function

Where is the y-intercept of a linear function located?

Where the line crosses the y-axis

What does a positive slope indicate about a linear function?

Line rises from left to right

What type of line does a zero slope produce?

Horizontal line

To find the x-intercept using the intercept method, what should you do?

Set y=0y = 0

To find the y-intercept using the intercept method, what should you do?

Set x=0x = 0

What TWO conditions must a directly proportional graph satisfy?

Linear and passes through origin

Why is f(x)=4x+2f(x) = 4x + 2 NOT directly proportional?

It doesn't pass through (0,0)(0, 0)

For f(x)=3x+2f(x) = 3x + 2, what is the value of f(1)f(1)?

55

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