Function Linear

Which graph represents a linear function?

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The ordered pairs, (x,y), define the relation Q.

{(4,5), (-3,2), (5,5), (2,-3)}

Is Q a function?

• Yes, because there is exactly one x-value for every y-value.

• Yes, because there is exactly one y-value for every x-value.

• No, because there is more than one x-value for some y-values.

• No, because there is more than one y-value for every x-value.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

This line is known as f(x) and what else?

• grandma function

• grandpa function

• parent function

• baby function

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is translated up 6 units

• g(x) is translated down 6 units

• g(x) is translated left 6 units

• g(x) is translated right 6 units

Describe the transformation from the parent function: y = 3x + 5

• Steeper; translated up 5 units

• Steeper; translated down 5 units

• Less steep; translated up 5 units

• Less steep; translated down 5 units

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected

How does the graph of g(x) compare to f(x)?

• g(x) is steeper and translated down from f(x)

• g(x) is steeper and translated up from f(x)

• g(x) is less steep and translated down from from f(x)

• g(x) is less steep and translated up from f(x)

Rewrite f(x) = 2x - 1 translated up three units and the slope doubled

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4