Math / Geometry

Questionwork \#1 Part 1 of 2
Consider the graph given on the right and answer the questions below.
The shaded set of numbers shown on the $x$ -axis can be expressed in interval notation as $\square$ . (Type your answer in interval notation.) Clear all

Studdy Solution

STEP 1

1. The parabola intersects the x-axis at two points.
2. The shaded region on the x-axis is between these two points.
3. The interval notation represents the set of x-values where the parabola is above or on the x-axis.

STEP 2

1. Identify the x-intercepts of the parabola.
2. Determine the interval that corresponds to the shaded region.
3. Express the interval in interval notation.

STEP 3

Identify the x-intercepts of the parabola from the graph. The parabola intersects the x-axis at approximately $x = 2$ and $x = 6$ .

STEP 4

Determine the interval that corresponds to the shaded region. The shaded region is between the x-intercepts, so the interval is from $x = 2$ to $x = 6$ .

STEP 5

Express the interval in interval notation. Since the parabola includes the points where it intersects the x-axis, use closed brackets:
$[2, 6]$
The shaded set of numbers shown on the x-axis can be expressed in interval notation as:
$\boxed{[2, 6]}$

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Questionwork \#1 Part 1 of 2
Consider the graph given on the right and answer the questions below.
The shaded set of numbers shown on the $x$ -axis can be expressed in interval notation as $\square$ . (Type your answer in interval notation.) Clear all

Studdy Solution

STEP 1

1. The parabola intersects the x-axis at two points.
2. The shaded region on the x-axis is between these two points.
3. The interval notation represents the set of x-values where the parabola is above or on the x-axis.

STEP 2

1. Identify the x-intercepts of the parabola.
2. Determine the interval that corresponds to the shaded region.
3. Express the interval in interval notation.

STEP 3

Identify the x-intercepts of the parabola from the graph. The parabola intersects the x-axis at approximately $x = 2$ and $x = 6$ .

STEP 4

Determine the interval that corresponds to the shaded region. The shaded region is between the x-intercepts, so the interval is from $x = 2$ to $x = 6$ .

STEP 5

Express the interval in interval notation. Since the parabola includes the points where it intersects the x-axis, use closed brackets:
$[2, 6]$
The shaded set of numbers shown on the x-axis can be expressed in interval notation as:
$\boxed{[2, 6]}$

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Questionwork \#1 Part 1 of 2Consider the graph given on the right and answer the questions below.The shaded set of numbers shown on the xxx-axis can be expressed in interval notation as □\square□ . (Type your answer in interval notation.) Clear all

Studdy Solution

STEP 1

1. The parabola intersects the x-axis at two points.2. The shaded region on the x-axis is between these two points.3. The interval notation represents the set of x-values where the parabola is above or on the x-axis.

STEP 2

1. Identify the x-intercepts of the parabola.2. Determine the interval that corresponds to the shaded region.3. Express the interval in interval notation.

STEP 3

Identify the x-intercepts of the parabola from the graph. The parabola intersects the x-axis at approximately x=2x = 2x=2 and x=6x = 6x=6.

STEP 4

Determine the interval that corresponds to the shaded region. The shaded region is between the x-intercepts, so the interval is from x=2x = 2x=2 to x=6x = 6x=6.

STEP 5

Express the interval in interval notation. Since the parabola includes the points where it intersects the x-axis, use closed brackets:[2,6] [2, 6] [2,6] The shaded set of numbers shown on the x-axis can be expressed in interval notation as:[2,6] \boxed{[2, 6]} [2,6]​

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questionwork \#1 Part 1 of 2
Consider the graph given on the right and answer the questions below.
The shaded set of numbers shown on the $x$ -axis can be expressed in interval notation as $\square$ . (Type your answer in interval notation.) Clear all

1. The parabola intersects the x-axis at two points.
2. The shaded region on the x-axis is between these two points.
3. The interval notation represents the set of x-values where the parabola is above or on the x-axis.

1. Identify the x-intercepts of the parabola.
2. Determine the interval that corresponds to the shaded region.
3. Express the interval in interval notation.

Identify the x-intercepts of the parabola from the graph. The parabola intersects the x-axis at approximately $x = 2$ and $x = 6$ .

Determine the interval that corresponds to the shaded region. The shaded region is between the x-intercepts, so the interval is from $x = 2$ to $x = 6$ .

Express the interval in interval notation. Since the parabola includes the points where it intersects the x-axis, use closed brackets:
$[2, 6]$
The shaded set of numbers shown on the x-axis can be expressed in interval notation as:
$\boxed{[2, 6]}$