what is the domain and range of f(x) =x^2
The lowest value for f(x) is zero, and the highest inf. X can be any value.
what do you mean?
I gave you the answer. What does domain and range mean?
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To find the domain and range of a function, you can follow these steps:
1. Domain: The domain of a function represents all the possible input values, or x-values, that the function can take. In the case of the function f(x) = x^2, there are no restrictions on the possible x-values. Therefore, the domain is (-∞, +∞), which means all real numbers.
2. Range: The range of a function represents all the possible output values, or y-values, that the function can produce. Since the function f(x) = x^2 is a quadratic function, the range depends on whether the equation opens upward or downward.
- If the equation opens upward (i.e., the coefficient of the x^2 term is positive), then the range is [0, +∞), which means all non-negative real numbers from zero to positive infinity.
- If the equation opens downward (i.e., the coefficient of the x^2 term is negative), then the range is (-∞, 0], which means all non-positive real numbers from negative infinity to zero.
In the case of f(x) = x^2, since the coefficient of the x^2 term is positive (which means it opens upward), the range is [0, +∞).