Final answer:
To graph the linear function f(x) = 2x - 3, plot points on the coordinate plane and connect them with a straight line. The function is a constant function with a slope of 2. The domain is all real numbers and the range is also all real numbers.
Step-by-step explanation:
To graph the linear function f(x) = 2x - 3, we will plot points on the coordinate plane and connect them with a straight line. The slope of the line is 2, which represents the rate of change of the function. A slope of 2 means that for every 1 unit increase in x, the value of y increases by 2. The y-intercept of the line is -3, which is the value of y when x is 0. Therefore, we can start by plotting the point (0, -3). Then, we can plot more points by using the slope of 2. For example, if we increase x by 1, the value of y will increase by 2. So, the next point would be (1, -1). We can continue this process and connect the points to get the graph of the function.
The function f(x) = 2x - 3 is a linear function. Linear functions have a constant rate of change, which means that the slope of the function does not change. In this case, the slope is 2, so the function is a constant function.
The domain of the function is all real numbers because there are no restrictions on the values of x. The range of the function is also all real numbers because the graph of the function extends infinitely in both the positive and negative y directions.