Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph
f(x) = 5x - 3,lim x -->5 f(x)
y = 5 x - 3
as x goes to 5
y ---> 22
To find the indicated limit of the function f(x) = 5x - 3 as x approaches 5, you can start by graphing the function. However, since we don't have the capability to provide a graph here, I will walk you through the process step by step.
Step 1: Start by understanding the function. In this case, the function is a linear function of the form f(x) = mx + b, where m represents the slope and b represents the y-intercept.
Step 2: Identify the slope and y-intercept for the given function. In this case, the slope is 5 and the y-intercept is -3. This means that for every increment of 1 in x, the value of f(x) increases by 5.
Step 3: Plot the y-intercept on the y-axis, which is -3.
Step 4: Use the slope to find additional points on the graph. Since the slope is 5, you can choose any value for x and calculate the corresponding value for f(x) by multiplying x by 5 and subtracting 3. For example, if you choose x = 0, then f(0) = 5(0) - 3 = -3. So you can plot the point (0, -3) on the graph.
Step 5: Connect the plotted points on the graph with a straight line. Note that since the function is a linear function, the graph will be a straight line.
After you have successfully graphed the function, you can find the indicated limit as x approaches 5. In this case, since x is approaching 5, you need to focus on the value of f(x) as x gets closer and closer to 5 on the graph.
If you observe the graph carefully, you will notice that as x approaches 5, the value of f(x) will approach a specific number. This number is the limit of the function as x approaches 5. To find that limit, you can simply read the value of f(x) on the y-axis when x is approaching 5 on the x-axis.
Therefore, to find the limit of f(x) as x approaches 5, you would read the value of f(x) on the y-axis at x = 5 from the graph.