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

To sketch the graph of the function \( f(x) = 5x + 5 \), we can follow these steps: 1. **Identify the type of function**: This is a linear function, which means its graph will be a straight line. 2. **Determine the slope and y-intercept**: - The slope \( m \) is the coefficient of \( x \), which is \( 5 \). - The y-intercept \( b \) is the constant term, which is \( 5 \). This means the line crosses the y-axis at the point \( (0, 5) \). 3. **Find another point on the line**: - To find another point, we can choose a value for \( x \). Let's use \( x = 1 \): \[ f(1) = 5(1) + 5 = 10 \] - So, another point on the line is \( (1, 10) \). 4. **Plot the points**: - Plot the points \( (0, 5) \) and \( (1, 10) \) on a coordinate plane. 5. **Draw the line**: - Connect the points with a straight line, extending it in both directions. 6. **Label the axes**: - Make sure to label the x-axis and y-axis for clarity. The graph will be a straight line that rises steeply due to the slope of \( 5 \). The line will cross the y-axis at \( (0, 5) \) and will continue upward as \( x \) increases.