A function f (x) = x² is given. Answer the following question for the function f(x).
a. What is the algebraic nature of the function?
b. Write the name of the locus of the curve.
c. Write the vertex of the function.
d. Write any one property for sketching the curve.
e. Write the domain of the function.
SOLUTION
A function f (x) = x² is given. Answer the following question for the function f(x). a. What is the algebraic nature of the function? [1K]
Answer : The function is a quadratic function because the highest power of x is 2.
b. Write the name of the locus of the curve. [1K]
Answer : The locus of the curve is called a parabola.
c. Write the vertex of the function. [1K]
Answer : The vertex of the function f(x)=x² is at the point (0, 0).
d. Write any one property for sketching the curve. [1K]
Answer : The curve is symmetric about the y-axis.
e. Write the domain of the function. [1K]
Answer: The domain of the function is all real numbers, i.e., (−∞,∞)
