How do I graph the function f(x)+1/4x+4?
no = sign, no parentheses.
do you mean
f(x) = 1/(4x+4)
or
f(x) = (1/4)(x+4)
or
f(x) = 1/(4x) + 4
or something else?
To graph the function f(x) = (1/4)x + 4, you can follow these steps:
1. Start by determining the domain and range of the function. In this case, the domain is all real numbers, since there are no restrictions on x, and the range is also all real numbers, since the function is a linear equation.
2. Choose a set of values for x to plot on the x-axis. It's generally best to choose values that will help you easily plot points and visualize the graph. For example, you can choose x-values such as -4, -2, 0, 2, and 4.
3. Plug each x-value into the equation f(x) = (1/4)x + 4 to find the corresponding y-values. Calculate the y-values by substituting the chosen x-values into the equation. For example, if x = -4, then f(-4) = (1/4)(-4) + 4 = -1 + 4 = 3. Thus, the first point on the graph would be (-4, 3).
4. Plot the points obtained from step 3 on a coordinate plane. Mark the x-values on the x-axis and the corresponding y-values on the y-axis. Connect the points to form a straight line. If you have more points, you can verify that they all fall on the line.
5. Extend the line in both directions to complete the graph. The line should pass through the points you have plotted and will continue indefinitely in both directions.
In conclusion, follow these steps to graph the function f(x) = (1/4)x + 4: determine the domain and range, choose x-values, calculate the corresponding y-values, plot the points on a coordinate plane, connect the points with a straight line, and extend the line in both directions.