Functions, Relations, Dependent Variables, Independent Variables

The function is linear if the first differences on x-coordinates are equal and the

first differences on y-coordinates are __________.

• less than

• unequal

• equal

• greater than

Tags

CCSS.HSF-LE.A.1B

What function is defined by f(x) = mx + b, where m is the slope and b is the y-intercept, m and b ∈ ℜ?

• Constant Function

• Linear Function

• Quadratic Function

• Cubic Function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In the given relation, what domain value corresponds to the range value - 2?

{( -1,2), (1,4), (2,5), (0, -2), (2,0)}

• -2

• 2

• 0

• 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which of the following is the definition of a function?

• A relation where one input is paired with one output.

• A relation where one input is paired with multiple outputs.

• A relation that includes only numbers.

• A set of numbers that includes negative numbers.

Tags

CCSS.8.F.A.1

Consider the relation {(x, y) | y = x^2}. Is this a function?

• Yes, because for each x, there is only one y.

• No, because x can have multiple values for y.

• Yes, because x is positive.

• No, because it’s not a linear relation.

Given the set of ordered pairs {(1, 2), (3, 4), (5, 6)}, explain whether adding the pair (1, 7) would make the relation not a function.

• Yes, because 1 is already paired with 2.

• No, because 7 is a different number.

• Yes, because 7 is larger than 2.

• No, because each number is paired with exactly one.

Tags

CCSS.8.F.A.1

Which of the following best describes the relationship between independent and dependent variables?

• The dependent variable is what you change, and the independent variable responds.

• The independent variable is what you change, and the dependent variable responds.

• Both the independent and dependent variables change randomly.

• Both variables remain constant.

Tags

CCSS.6.EE.C.9

In the relation {(2, 4), (3, 6), (4, 8), (2, 10)}, is it a function?

• Yes, because every input has a corresponding output.

• No, because input 2 is paired with two different outputs.

• Yes, because the outputs are different.

• No, because the inputs are the same.

Tags

CCSS.8.F.A.1

Which of the following relations is not a function?

• {(1, 2), (2, 3), (3, 4)}

• {(5, 10), (5, 15), (6, 20)}

• {(-1, -2), (0, 0), (1, 2)}

• {(2, 3), (3, 6), (4, 8)}

Tags

CCSS.8.F.A.1

A relation is defined as {(x, y) | x = 1}. Is this a function? Explain why.

• Yes, because there is only one y value for all x.

• No, because there are multiple y values for a single x.

• Yes, because all x values are the same.

• No, because the relation is constant.

Tags

CCSS.8.F.A.1