Identifying Functions and Function Notation Practice Algebra

Is this graph a function or not a function? 

• Function 

• Not a Function

Identify the domain of the following relation:

• -6, 14, 2, 28

• (-6,14), (0,32), (2,38), (4,44)

• -6, 0, 2, 4

• 14, 32, 38, 44

Which choice shows the equation of this vertical line? Is it a function?

• x = 7 and it is not a function. It fails the vertical line test because it is a vertical line. This means a vertical line will intersect this relation at more than one point.

• y = 7 and it is a function. It's a horizontal line, through 7 on the y axis and passes the vertical line test.

• x = 7 and it is a function. It's a vertical line, so it passes the vertical line test. Sounds like this might make sense.

• y = 7 and it is not a function. It's a vertical line through 7 on the y-axis and fails the vertical line test.

Which choice shows the equation of the horizontal line? Is it a function?

• y = 5 and yes, it is a function. It passes the vertical line test.

• x = 5 and yes, it is a function. It passes the vertical line test.

• x = 5 and no, it is not a function. It fails the vertical line test.

• y = 5 and no, it is not a function. It fails the vertical line test.

We have talked about a statement of dependence that may help you identify the the independent & dependent variables in a situation. When you see y is a function of x, that's just another way to say which of the choices?

• x depends on y

• y depends on x

Tags

CCSS.6.EE.C.9

Is the relation a function? Why?

• Yes, because the x-value 11 has two y-values paired with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values paired with it.

• No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Tags

CCSS.8.F.A.1

Is the following graph a function? Explain.

• Yes, because no x-value repeats.

• Yes, because they are individual dots.

• No, because the x repeats.

• No, because it is not a line.

Tags

CCSS.8.F.A.1

If f(x) = 3x - 9, find f(5).

• f(5) = 6

• f(5) = 16

• f(5) = -4

• f(5) = 24

Tags

CCSS.HSF.IF.A.2

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x - 3

• Can't be written in function notation

Tags

CCSS.HSF.IF.A.2