Question

example problem 1: graph and identify features. graph the linear function (f(x)=-2x + 4). questions: 1. what is the slope? -2 2. what is the y - intercept? y = 4 3. what is the x - intercept? x = 2 4. what is the zero of the function?

Explanation:

Step1: Identify slope - intercept form

The linear function is $f(x)=-2x + 4$, which is in $y = mx + b$ form where $m$ is slope and $b$ is y - intercept. Here $m=-2$.

Step2: Find y - intercept

In $y=-2x + 4$, when $x = 0$, $y=4$. So the y - intercept is 4.

Step3: Find x - intercept

Set $y = 0$, then $0=-2x + 4$. Solve for $x$:
$2x=4$, so $x = 2$.

Step4: Find zero of the function

The zero of the function is the x - value when $y = 0$. We found $x = 2$ when $y = 0$. So the zero of the function is 2.

Answer:

1. Slope: -2
2. y - intercept: 4
3. x - intercept: 2
4. Zero of the function: 2