Questions: Graph the function. f(x) = 1/4 x + 9

Graph the function. f(x) = 1/4 x + 9
Transcript text: Graph the function. \[ f(x)=\frac{1}{4} x+9 \]
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Solution

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Graph the function \( f(x) = \frac{1}{4}x + 9 \). Find the y-intercept.

The y-intercept is the value of \(f(x)\) when \(x = 0\). \(f(0) = \frac{1}{4}(0) + 9 = 9\). So the y-intercept is \((0, 9)\). Find the x-intercept.

The x-intercept is the value of \(x\) when \(f(x) = 0\). \(0 = \frac{1}{4}x + 9\) \(-9 = \frac{1}{4}x\) \(x = -36\) So the x-intercept is \((-36, 0)\). Plot the intercepts and draw the line.

Plot the points \((0, 9)\) and \((-36, 0)\) on the coordinate plane. Draw a straight line through these two points. This is the graph of the function \(f(x) = \frac{1}{4}x + 9\).

\( \boxed{\text{The graph of the function passes through } (0, 9) \text{ and } (-36, 0)} \)

\( \boxed{\text{The graph of the function passes through } (0, 9) \text{ and } (-36, 0)} \)

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