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#4 Write the x and y intercepts of the function g(x) = -4x - 10. If needed, write answers using simplified...

#4 Write the x and y intercepts of the function g(x) = -4x - 10. If needed, write answers using simplified fractions. Use "/" as the fraction bar.
x-intercept: ( , )
y-intercept: ( , )

Answer

x-intercept: To find the x-intercept, set g(x) = 0 and solve for x.

  1. 0 = -4x - 10
  2. 4x = -10
  3. x = -10/4 = -5/2

The x-intercept is (-5/2, 0).

y-intercept: To find the y-intercept, set x = 0 and solve for g(x).

  1. g(0) = -4(0) - 10
  2. g(0) = -10

The y-intercept is (0, -10).

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