Practice Questions on Square Function

Q1: Graph the square function y = (-x+7)2

Q2: Find the x and y intercept of the square function y = (3x+4)2

Q3: Find the domain and range of the square function y = (2x-21)2.

Q4: Find the domain and range of the square function y = (x-12)2.

Square Function

A square function is also a quadratic function. A square function is represented as f(x) = x2. The graph of the square function is in the shape of a parabola or U- shaped. Based on the coefficient of x2 (highest degree in a square function), the graph may be U- shaped or Inverted U- shaped.

In this article we have covered, the definition of a square function, the graph of a square function, the domain and range of a square function and others in detail.

Table of Content

  • What is a Square Function?
  • Graph of a Square Function
  • Domain of a Square Function
  • Range of a Square Function
  • Properties of Square Function
  • Conclusion
  • Examples on Square Function
  • Practice Questions on Square Function

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What is a Square Function?

A square function is a function that multiplies a number by Itself. In general, the square function is denoted by,...

Graph of a Square Function

Graph of a square function is Concave up or Concave down. It means the graph of the square function will be either open upwards or inverted(downwards)....

Domain of a Square Function

Domain is set of ‘x’ values or input values of a function. The domain of the square function is set of Real numbers (It means positive integers, negative integers, irrational numbers and fractions)....

Range of a Square Function

Range is set of ‘y’ values or output values of a function. The range of the square function is Non -negative Real numbers....

Properties of Square Function

Some of the properties of the square function are:...

Conclusion

Square function forms an inverse relation with square root function. It is the basis of quadratic relationship. The graph of the square function is like a parabola. It also tell us whether the function is an even function or not, non negative output, increasing on positive inputs and decreasing on negative inputs which are properties of square function. Square function is used in mathematics like algebra, calculus, geometry, and physics, and applications in areas such as optimization and engineering....

Examples on Square Function

Example 1: Graph the square function y = (x + 1)2?...

Practice Questions on Square Function

Q1: Graph the square function y = (-x+7)2...

FAQs on Square Function

What is a square function?...