Questions: Select the domain and range of the graph in set-builder and interval notation. Domain = x x ∈ R or (-∞, ∞) Range = y y ∈ R or (-∞, ∞)

Select the domain and range of the graph in set-builder and interval notation. Domain = x x ∈ R or (-∞, ∞) Range = y y ∈ R or (-∞, ∞)
Transcript text: Select the domain and range of the graph in set-builder and interval notation. Domain $=$ $\{x \mid x \in \mathbb{R}\}$ or $(-\infty, \infty)$ Range $=$ $\{ y \mid y \in \mathbb{R}\}$ or $(-\infty, \infty)$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Domain

The domain of a function is the set of all possible input values (x-values) that the function can accept. Observing the graph, the curve extends infinitely in both the positive and negative x-directions. Therefore, the domain includes all real numbers.

Step 2: Identify the Range

The range of a function is the set of all possible output values (y-values) that the function can produce. Observing the graph, the curve extends infinitely in both the positive and negative y-directions. Therefore, the range includes all real numbers.

Step 3: Express the Domain and Range in Set-Builder and Interval Notation
  • Domain in Set-Builder Notation: \(\{x \mid x \in \mathbb{R}\}\)
  • Domain in Interval Notation: \((-\infty, \infty)\)
  • Range in Set-Builder Notation: \(\{y \mid y \in \mathbb{R}\}\)
  • Range in Interval Notation: \((-\infty, \infty)\)

Final Answer

  • Domain: \(\{x \mid x \in \mathbb{R}\}\) or \((-\infty, \infty)\)
  • Range: \(\{y \mid y \in \mathbb{R}\}\) or \((-\infty, \infty)\)
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
The economic or protective potential of employee experience, actions, and knowledge is referred to as human capital
failedAnswered
(a) Which measures of central tendency do not exist for this data set? Choose all that apply. Mean Median Mode All of these measures exist (b) Suppose that the measurement 182 (the largest measurement in the data set) were replaced by 245 . Which measures of central tendency would be affected by the change? Choose all that apply. Mean Median Mode None of these measures (c) Suppose that, starting with the original data set, the largest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply. Mean Median Mode None of these measures (d) The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set? Choose only one. Mean is greater Median is greater Cannot be determined
failedAnswered
Select all that apply Systematic withdrawals from a mutual fund may be made: by withdrawing a fixed percentage of the asset growth each period. in a specific dollar amount each investment period. by withdrawing in full of all assets in the investment account for each period. by selling off a specific number of shares each investment period.
failedAnswered
(5x-35)/27 ÷ (8x-63)/18 = □
failedAnswered
H -- G -- F -- E 14 2x+5 G 3x-2