Questions: Consider the function in the graph to the right. The function has a maximum of 6 σ° at x= The function has a minimum of at x= The function is increasing on the interval(s): (-∞,-7),(1, ∞) The function is decreasing on the interval(s): (-7,-2) The domain of the function is: (-∞, ∞) The range of the function is: (-∞, ∞)

Consider the function in the graph to the right.
The function has a maximum of
6 σ° at x=

The function has a minimum of
at x=

The function is increasing on the interval(s):
(-∞,-7),(1, ∞)

The function is decreasing on the interval(s):
(-7,-2)

The domain of the function is:
(-∞, ∞)

The range of the function is:
(-∞, ∞)

Transcript text: Consider the function in the graph to the right. The function has a maximum of 6 $\sigma^{\circ}$ at $x=$ $\rightarrow$ The function has a minimum of $\square$ at $x=$ The function is increasing on the interval(s): \[ (-\infty,-7),(1, \infty) \] $\square$ The function is decreasing on the interval(s): \[ (-7,-2) \] $\square$ The domain of the function is: $\square$ \[ (-\infty, \infty) \] The range of the function is: $\square$ \[ (-\infty, \infty) \]

Solution

Solution Steps

To solve the given problem, we need to analyze the properties of the function based on the provided information. We will identify the maximum and minimum values, determine the intervals where the function is increasing or decreasing, and find the domain and range of the function. Since the problem is more descriptive and doesn't require specific calculations, we will focus on interpreting the given intervals and values.

Step 1: Maximum Value

The function has a maximum value of $ 6 $ at $ x = \text{None} $. This indicates that while we know the maximum value, the specific $ x $-coordinate at which this maximum occurs is not provided.

Step 2: Minimum Value

The minimum value of the function is also not specified, as indicated by $ \text{None} $. Therefore, we cannot determine the minimum value or its corresponding $ x $-coordinate.

Step 3: Increasing and Decreasing Intervals

The function is increasing on the intervals $ (-\infty, -7) $ and $ (1, \infty) $. It is decreasing on the interval $ (-7, -2) $. This information helps us understand the behavior of the function across different ranges of $ x $.

Step 4: Domain and Range

The domain of the function is $ (-\infty, \infty) $, meaning it is defined for all real numbers. The range of the function is also $ (-\infty, \infty) $, indicating that the function can take any real value.

Final Answer

Maximum value: $ 6 $ at $ x = \text{None} $
Minimum value: $ \text{None} $
Increasing intervals: $ (-\infty, -7) $ and $ (1, \infty) $
Decreasing interval: $ (-7, -2) $
Domain: $ (-\infty, \infty) $
Range: $ (-\infty, \infty) $

Thus, the final boxed answers are: \[ \boxed{\text{Maximum value: } 6} \] \[ \boxed{\text{Minimum value: None}} \] \[ \boxed{\text{Increasing intervals: } (-\infty, -7) \text{ and } (1, \infty)} \] \[ \boxed{\text{Decreasing interval: } (-7, -2)} \] \[ \boxed{\text{Domain: } (-\infty, \infty)} \] \[ \boxed{\text{Range: } (-\infty, \infty)} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!