QuestionGraph the function defined by .
Studdy Solution
STEP 1
Assumptions1. The function is . The function is linear, meaning it will form a straight line when graphed3. The graph will be plotted on a standard Cartesian coordinate system
STEP 2
Identify the slope and y-intercept of the function. In the function , the coefficient of is the slope and the constant term is the y-intercept.
STEP 3
Plot the y-intercept on the graph. The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is5, so we plot a point at (0,5).
STEP 4
Use the slope to find another point on the line. The slope is the ratio of the change in y to the change in x, often expressed as "rise over run". In this case, the slope is1, which means for every1 unit increase in x, y increases by1 unit. Starting from the y-intercept (0,), we can move1 unit to the right and1 unit up to find another point (1,6).
STEP 5
Draw a straight line through the points plotted. This line represents the function .
Was this helpful?
