Group Quiz Range,Domain, and more

Does this table represent a function?

• Yes!

• No!

• I Don't Know

Answer explanation

A table represents a function if each input (x-value) has exactly one output (y-value). If any x-value is paired with multiple y-values, it is not a function. Therefore, the correct answer is 'No!'.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Is this graph a function? (Vertical Line test)

• Yes

• No

• I Don't Know

Answer explanation

The graph is a function because it passes the vertical line test, meaning that any vertical line drawn on the graph intersects it at most once. Therefore, each input has a unique output.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

Is this relation a Function?

• Yes

• No

• I Don't Know

Answer explanation

A relation is not a function if any input is associated with more than one output. Since this relation fails that criterion, the correct answer is 'No'.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the domain of this graph?

• [-1,1]

• [-2,2]

• (-1,-2)

• (-∞,+∞)

Answer explanation

The domain of the graph refers to the set of all possible x-values. Since the correct answer is (-∞,+∞), it indicates that the graph extends infinitely in both directions along the x-axis, allowing all real numbers.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the range of this function?

• [-2,3]

• (-2,3]

• [-5,4]

• (-5,4]

Answer explanation

The function's range is determined by its output values. The correct choice, (-2,3], indicates that the function can take values greater than -2 and up to 3, including 3 but not -2, which aligns with the behavior of the function.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of this function?

• [-2,3]

• (-2,3]

• [-5,4]

• (-5,4]

Answer explanation

The domain of the function is the set of all possible input values. The correct choice, (-5,4], indicates that the function includes all values greater than -5 up to and including 4, which is the valid range for this function.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Is this a function?  Why or why not?

• No, the domain numbers are repeated.

• No, it passes the Vertical Line Test.

• Yes, it passes the Vertical Line Test.

• Yes, the range numbers are not repeated.

Answer explanation

Yes, it passes the Vertical Line Test, which means that for every x-value in the domain, there is exactly one corresponding y-value in the range. This confirms that the relation is a function.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Using the vertical line test. Is this a function?

• Yes

• No

Answer explanation

The vertical line test states that if a vertical line intersects a graph at more than one point, it is not a function. Since the answer is 'No', it indicates that the graph fails this test, confirming it is not a function.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

Using the vertical line test. Is this a function?

• Yes

• No

Answer explanation

The vertical line test states that if a vertical line intersects a graph at more than one point, it is not a function. Since the graph passes this test, the answer is Yes, it is a function.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

What is the domain?

• [-2, 3]

• [-2, 3)

• (-2, 3]

• [-3, 4]

• (-3, 4]

Answer explanation

The domain is defined as the set of possible input values. The correct choice, (-2, 3], indicates that -2 is not included (open interval) while 3 is included (closed interval), fitting the criteria for the domain.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5