Question

graph the function f left parenthesis x right parenthesis equals 2 x minus 4

Answer 1

To graph the function \( f(x) = 2x - 4 \), follow these steps:

1. **Identify the type of function**: This is a linear function, which means its graph will be a straight line.

2. **Find the y-intercept**: Set \( x = 0 \) to find the point where the graph intersects the y-axis.
\[
f(0) = 2(0) - 4 = -4
\]
So the y-intercept is (0, -4).

3. **Find another point**: Choose a value for \( x \) to calculate another point on the line. For example, let’s choose \( x = 2 \).
\[
f(2) = 2(2) - 4 = 0
\]
So another point on the line is (2, 0).

4. **Plot the points**: On a coordinate plane, plot the points (0, -4) and (2, 0).

5. **Determine the slope**: The slope of the function \( f(x) = 2x - 4 \) is 2, which means for every unit increase in \( x \), \( y \) increases by 2. You can use this to find more points if necessary.

6. **Draw the line**: Connect the points with a straight line, extending it in both directions.

**Final Graph**: The line will slope upwards from left to right, crossing the y-axis at (0, -4) and passing through (2, 0).

If you have graphing tools, you can input the function \( f(x) = 2x - 4 \) to see the visual representation.