Question

Graph the function and answer each of the following questions. f(x)=1/2 x-4

a. What is the y-intercept?
b. What is the slope (in fraction form)?
c. Is your slope positive or negative?
d. Explain how you plotted your second point.

Answer 1

The y-intercept is -4 and the slope is 1/2. The slope is positive, indicating that the function is increasing. To plot a second point, we can choose an x-value and plug it into the equation.

Step-by-step explanation:

a. The y-intercept of the function f(x) = 1/2x - 4 is obtained by setting x = 0. Plugging in x = 0 into the equation, we get f(0) = 1/2(0) - 4 = -4. So, the y-intercept is -4.
b. The slope of the function is the coefficient of x, which is 1/2.
c. The slope of 1/2 is positive. This means that the function is increasing as x increases.
d. To plot a second point on the graph, we can pick any x-value that is not zero. Let's choose x = 2. Plugging in x = 2 into the equation, we get f(2) = 1/2(2) - 4 = -3. Therefore, the second point on the graph is (2, -3).