# How do you find the range of #f(x)=-x^2+4x-3#?

Using this in our calculation,

By signing up, you agree to our Terms of Service and Privacy Policy

To find the range of (f(x) = -x^2 + 4x - 3), determine the vertex of the quadratic function using the formula (x = -\frac{b}{2a}). Substitute this x-value into the function to find the corresponding y-value, which represents the minimum point of the parabola. The range is then the set of all y-values greater than or equal to this minimum value.

By signing up, you agree to our Terms of Service and Privacy Policy

To find the range of the function f(x) = -x^2 + 4x - 3, you first need to determine its vertex, which represents the maximum or minimum point of the parabola. Then, you can analyze whether the parabola opens upwards or downwards. Based on this information, you can determine the range. The range of the function will be all real numbers if the parabola opens downwards, or it will be restricted based on the vertex if the parabola opens upwards. To find the vertex, you can use the formula for the x-coordinate of the vertex, which is given by x = -b / (2a), where a = -1 (coefficient of x^2) and b = 4 (coefficient of x). Once you find the x-coordinate of the vertex, substitute it into the function to find the corresponding y-coordinate.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7