To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x²? What is its domain?

검증된 단계별 안내

Identify the function given: ƒ(x) = x^2 is a quadratic function, which graphs as a parabola opening upwards.

Recall the shape of the graph of ƒ(x) = x^2: it is a U-shaped curve with its vertex at the origin (0,0).

Look at the provided basic graphs and select the one that matches this U-shaped parabola with vertex at the origin.

Determine the domain of ƒ(x) = x^2: since you can input any real number for x and get a real output, the domain is all real numbers.

Express the domain in interval notation as \((-\infty, \infty)\), meaning x can be any real number.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Quadratic Functions

A quadratic function is a polynomial function of degree two, typically written as f(x) = x². Its graph is a parabola that opens upwards, symmetric about the y-axis, with the vertex at the origin (0,0). Recognizing this shape helps identify the graph of f(x) = x².

Graph Interpretation

Graph interpretation involves analyzing the shape, position, and key features of a graph to match it with a given function. For f(x) = x², the graph is a U-shaped curve, and understanding these visual cues is essential to correctly identify the function's graph.

Domain of a Function

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For f(x) = x², the domain is all real numbers since any real number can be squared without restriction.

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x2? What is its domain?