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Find the x-intercept(s) and y-intercept of the function. f(x)=4x-24

Find the x x -intercept(s) and y y -intercept of the function.\newlinef(x)=4x−24 f(x)=4 x-24

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Full solution

Q. Find the x x -intercept(s) and y y -intercept of the function.\newlinef(x)=4x−24 f(x)=4 x-24
  1. Find x-intercept: To find the x-intercept(s), we set f(x)f(x) to zero and solve for xx.0=4x−240 = 4x - 24Add 2424 to both sides to isolate the term with xx.0+24=4x−24+240 + 24 = 4x - 24 + 2424=4x24 = 4xNow, divide both sides by 44 to solve for xx.244=4x4\frac{24}{4} = \frac{4x}{4}6=x6 = xThe x-intercept is at xx00.
  2. Solve for x: To find the y-intercept, we set xx to zero and solve for f(x)f(x).f(0)=4(0)−24f(0) = 4(0) - 24f(0)=−24f(0) = -24The y-intercept is at f(x)=−24f(x) = -24, which means it is at the point (0,−24)(0, -24) on the y-axis.

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