Question
Intercepts of each function
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GPT 3.5
1. For a linear function, the intercepts are the points where the graph of the function crosses the x-axis (x-intercept) and the y-axis (y-intercept).
2. For a quadratic function, the x-intercepts are the points where the graph crosses the x-axis, and can be found by solving the quadratic equation f(x) = 0. The y-intercept is the point where the graph crosses the y-axis, which is the value of the function at x = 0.
3. For a cubic function, the intercepts can be found in a similar way as for a quadratic function. The x-intercepts are the points where the graph crosses the x-axis, and the y-intercept is the value of the function at x = 0.
4. For a trigonometric function, the intercepts depend on the specific function. For example, for the sine function, the intercepts occur at points where the function crosses the x-axis, which are integers of the form nπ, where n is an integer. The y-intercept is at (0,0).
2. For a quadratic function, the x-intercepts are the points where the graph crosses the x-axis, and can be found by solving the quadratic equation f(x) = 0. The y-intercept is the point where the graph crosses the y-axis, which is the value of the function at x = 0.
3. For a cubic function, the intercepts can be found in a similar way as for a quadratic function. The x-intercepts are the points where the graph crosses the x-axis, and the y-intercept is the value of the function at x = 0.
4. For a trigonometric function, the intercepts depend on the specific function. For example, for the sine function, the intercepts occur at points where the function crosses the x-axis, which are integers of the form nπ, where n is an integer. The y-intercept is at (0,0).