Question

amazing, a 5 week...
5 week
streak
level 8
feature
statement
y - intercept
the surface descended between 12 and 15
seconds.
relative maximum or
minimum
the water was at a crest after 6 seconds.
increasing or decreasing
interval
at the beginning, the surfaces height was
30 centimeters.
related content
graph interpretation word problem: temperature

Explanation:

To solve this, we match each feature with its correct statement by recalling the definitions:

1. \( y \)-intercept

The \( y \)-intercept is the value of a function when \( x = 0 \) (the "beginning" if \( x \) represents time). So:

• Feature: \( y \)-intercept
• Statement: At the beginning, the surface’s height was 30 centimeters.

2. Relative maximum or minimum

A relative maximum (or "crest" for a water surface) occurs at a peak of the function. So:

• Feature: Relative maximum or minimum
• Statement: The water was at a crest after 6 seconds.

3. Increasing or decreasing interval

An interval where the function is decreasing means the output (height) falls as \( x \) (time) increases. So:

• Feature: Increasing or decreasing interval
• Statement: The surface descended between 12 and 15 seconds.

Final Matches:

• \( y \)-intercept: At the beginning, the surface’s height was 30 centimeters.
• Relative maximum or minimum: The water was at a crest after 6 seconds.
• Increasing or decreasing interval: The surface descended between 12 and 15 seconds.

Answer:

To solve this, we match each feature with its correct statement by recalling the definitions:

1. \( y \)-intercept

The \( y \)-intercept is the value of a function when \( x = 0 \) (the "beginning" if \( x \) represents time). So:

• Feature: \( y \)-intercept
• Statement: At the beginning, the surface’s height was 30 centimeters.

2. Relative maximum or minimum

A relative maximum (or "crest" for a water surface) occurs at a peak of the function. So:

• Feature: Relative maximum or minimum
• Statement: The water was at a crest after 6 seconds.

3. Increasing or decreasing interval

An interval where the function is decreasing means the output (height) falls as \( x \) (time) increases. So:

• Feature: Increasing or decreasing interval
• Statement: The surface descended between 12 and 15 seconds.

Final Matches:

• \( y \)-intercept: At the beginning, the surface’s height was 30 centimeters.
• Relative maximum or minimum: The water was at a crest after 6 seconds.
• Increasing or decreasing interval: The surface descended between 12 and 15 seconds.