Final answer:
To graph the function f(x)=2x+1, construct a table of values for key points x=0 and x=10, plot them on a graph, and draw a line through these points. Label the graph with f(x) and x, and scale the axes to display the range 0≤x≤ 20.
Step-by-step explanation:
To graph the function f(x)=2x+1 by moving key points, we will start by constructing a table of values for x and calculate the corresponding values of f(x). Since the function f(x)=2x+1 is a linear equation, we can choose two points to determine the line. Let's choose x=0 and x=10 as our key points to cover the range mentioned in the question 0≤x≤ 20.
- For x=0: f(0)=2(0)+1 = 1. The point is (0, 1).
- For x=10: f(10)=2(10)+1 = 21. The point is (10, 21).
After plotting these two points on the graph, draw a straight line through them, which will represent the graph of the function f(x)=2x+1. Remember to label the graph with f(x) for the y-axis and x for the x-axis. Also, scale the axes accordingly, ensuring that they accommodate the range of x from 0 to 20 and the corresponding range of f(x) values.