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QUESTION IMAGE

which of the following is true about the function \\(y = -\\frac{3}{4}x…

Question

which of the following is true about the function \\(y = -\frac{3}{4}x + 6\\)?

  • its domain is \\((-\infty, \infty)\\), but its range is not.
  • all of these are true.
  • its slope is \\(-\frac{3}{4}\\), and its y-intercept is \\((0, 6)\\).
  • its x-intercept is \\((8, 0)\\), and it increases over its entire domain.

Explanation:

Analyze the slope and y-intercept

$$ LATEXBLOCK0 $$

Analyze the domain, range, and behavior

$$ LATEXBLOCK1 $$

Evaluate the given options

$$ LATEXBLOCK2 $$

Answer:

  • Its domain is \((-\infty, \infty)\), but its range is not.
  • All of these are true.
  • Its slope is \(-\frac{3}{4}\), and its y-intercept is \((0, 6)\). (Correct answer)
  • Its x-intercept is \((8, 0)\), and it increases over its entire domain.