Sketch the graph of the function. \( f(x)=5 x+5 \)

To sketch the graph of the function \( f(x) = 5x + 5 \), start by identifying key points. The function is a linear equation with a slope of 5, which means the line will rise steeply as you move from left to right. The y-intercept, which is where the line crosses the y-axis, is at (0, 5). To plot it, begin at (0, 5) and then use the slope to find another point; from (0, 5), go up 5 units and right 1 unit to reach (1, 10). Connecting these points gives you a straight line that continues infinitely in both directions. The line can also be understood as representing a real-world scenario, such as budgeting. Imagine the function describes your spending, where \( x \) is the number of items purchased and \( f(x) \) is the total cost. If each item costs $5, the function tells you that even if you don't buy anything (at \( x = 0 \)), you'll still have a minimum expense of $5, which might be a base fee or initial cost. So, whether for budgeting or a graph, this linear function is quite practical!