1.what is the range of f(x)=2.
2. How to graph f(x)=5x.
3. How to graph f(x)=-3x^2-1.
4. How to graph f(x)=-2\sqrt{x}.
5. How do we graph -4/x/.
6.It is curved at 1 on the graph. How to solve f(x)=2.
1. The range of the function f(x) = 2 is a set of all possible y-values that the function can take. In this case, since the function f(x) = 2 represents a horizontal line parallel to the x-axis, the range is simply the single value 2.
2. To graph the function f(x) = 5x, you can follow these steps:
- Choose a set of x-values, such as -3, -2, -1, 0, 1, 2, 3.
- Substitute these values into the equation to find the corresponding y-values. For example, when x = -3, y = 5*(-3) = -15.
- Plot the points (x, y) on a coordinate plane.
- Connect the plotted points with a straight line to form the graph.
3. To graph the function f(x) = -3x^2 - 1, you can follow these steps:
- Choose a set of x-values, such as -2, -1, 0, 1, 2.
- Substitute these values into the equation to find the corresponding y-values. For example, when x = -2, y = -3*(-2)^2 - 1 = -11.
- Plot the points (x, y) on a coordinate plane.
- Connect the plotted points with a smooth curve to form the graph, since this is a quadratic function.
4. To graph the function f(x) = -2√x, you can follow these steps:
- Choose a set of x-values, such as 0, 1, 4, 9, 16.
- Substitute these values into the equation to find the corresponding y-values. For example, when x = 0, y = -2√0 = 0.
- Plot the points (x, y) on a coordinate plane.
- Connect the plotted points with a smooth curve to form the graph, since this is a square root function.
5. The expression -4/x/ is not clear. If you can provide more information or clarify the expression, I can help you graph it or provide more information.
6. If a function is curved at a specific point, such as f(x) = 2 being curved at x = 1, it means that the graph of the function has a different rate of change or slope at that point compared to other points. To solve f(x) = 2, you can follow these steps:
- Set the equation f(x) equal to 2: -3x^2 - 1 = 2.
- Rearrange the equation to get it in standard form: -3x^2 - 1 - 2 = 0, which simplifies to -3x^2 - 3 = 0.
- Solve this quadratic equation using factoring, completing the square, or the quadratic formula to find the x-values where f(x) equals 2.
- Once you have the x-values, you can substitute them back into the original equation to find the corresponding y-values on the graph.