text: Browse Questions
  
  # Is $g=\{(1,1),(2,3),(3,5),(4,7)\}$ a function?If g is described by $g(x)=\alpha x+\beta$,then what value should be assigned to $\alpha\;and\;\beta.$
  
  $\begin{array}{1 1} \alpha =1 \qquad \beta =-1 \\ \alpha =2 \qquad \beta =-1 \\ \alpha =2 \qquad \beta =-2 \\ \alpha =-1 \qquad \beta =-1 \end{array}$
  
  Toolbox:
  • We find values for $\alpha$ and $\beta$ such that $b=\alpha a+\beta$ for all or ordered pairs $(a,b) \in g$
  $g=\{(1,1),(2,3),(3,5)(4,7)\}$ is a function
  
  we see that
  
  If $g(x)=2x-1$ is satisfied for all values of $x =\{1,2,3,4\}$
  
  $g(1)=2 \times 1-1=1$
  
  $g(2)=2 \times 2-1=3$
  
  $g(3)=2 \times 3-1=5$
  
  $g(4)=2 \times 4-1=7$
  
  Hence $\alpha =2 \qquad \beta =-1$
explanation: The document contains a math question and its corresponding answer. The question asks whether the given set \( g \) is a function and, if so, what values should be assigned to \( \alpha \) and \( \beta \) in the function \( g(x) = \alpha x + \beta \). The answer provided determines that \( \alpha = 2 \) and \( \beta = -1 \).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Browse Questions
  
  # Is $g=\{(1,1),(2,3),(3,5),(4,7)\}$ a function?If g is described by $g(x)=\alpha x+\beta$,then what value should be assigned to $\alpha\;and\;\beta.$
  
  $\begin{array}{1 1} \alpha =1 \qquad \beta =-1 \\ \alpha =2 \qquad \beta =-1 \\ \alpha =2 \qquad \beta =-2 \\ \alpha =-1 \qquad \beta =-1 \end{array}$
  
  Toolbox:
  • We find values for $\alpha$ and $\beta$ such that $b=\alpha a+\beta$ for all or ordered pairs $(a,b) \in g$
  $g=\{(1,1),(2,3),(3,5)(4,7)\}$ is a function
  
  we see that
  
  If $g(x)=2x-1$ is satisfied for all values of $x =\{1,2,3,4\}$
  
  $g(1)=2 \times 1-1=1$
  
  $g(2)=2 \times 2-1=3$
  
  $g(3)=2 \times 3-1=5$
  
  $g(4)=2 \times 4-1=7$
  
  Hence $\alpha =2 \qquad \beta =-1$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question asks whether the given set \( g \) is a function and, if so, what values should be assigned to \( \alpha \) and \( \beta \) in the function \( g(x) = \alpha x + \beta \). The answer provided determines that \( \alpha = 2 \) and \( \beta = -1 \).
  
  Label: question-and-answer