Answer:
Step-by-step explanation:
Certainly! Let’s find the x-intercept and y-intercept for the linear function (f(x) = 3x - 1).
X-Intercept (where the function crosses the x-axis): To find the x-intercept, we set the value of (y) to 0 and solve for (x): [0 = 3x - 1] Adding 1 to both sides: [1 = 3x] Dividing both sides by 3: [x = \frac{1}{3}] Therefore, the x-intercept is at the point (\left(\frac{1}{3}, 0\right)).
Y-Intercept (where the function crosses the y-axis): To find the y-intercept, we set the value of (x) to 0 and solve for (y): [y = 3(0) - 1] [y = -1] Therefore, the y-intercept is at the point ((0, -1)).
In summary:
X-Intercept: (\left(\frac{1}{3}, 0\right))
Y-Intercept: ((0, -1))
