How do you graph $f (x) = \frac{1}{2} x + 1$ $f(x)=1/2x+1$ ?

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Answer 1 · 2018-05-19T13:31:41

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point: For $x = 0$ $x = 0$

$f (0) = (\frac{1}{2} \cdot 0) + 1$ $f(0) = (1/2 * 0) + 1$

$f (0) = 0 + 1$ $f(0) = 0 + 1$

$f (0) = 1$ $f(0) = 1$ or $(0, 1)$ $(0, 1)$

Second Point: For $x = 2$ $x = 2$

$f (2) = (\frac{1}{2} \cdot 2) + 1$ $f(2) = (1/2 * 2) + 1$

$f (2) = 1 + 1$ $f(2) = 1 + 1$

$f (2) = 2$ $f(2) = 2$ or $(2, 2)$ $(2, 2)$

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-1)^2-0.035)((x-2)^2+(y-2)^2-0.035)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y - (1/2x)-1)(x^2+(y-1)^2-0.035)((x-2)^2+(y-2)^2-0.035)=0 [-10, 10, -5, 5]}

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