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India
Class XI

Find the Equation of a Square Root Function

Interactive practice questions

The square root function that has been graphed has an equation of the form $y=a\sqrt{x}$y=ax.

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a

Which of the following are points that lie on the graphed function? Select the two that apply.

$\left(1,2\right)$(1,2)

A

$\left(3,3\right)$(3,3)

B

$\left(4,4\right)$(4,4)

C

$\left(2,3\right)$(2,3)

D

$\left(4,8\right)$(4,8)

E
b

Solve for the value of $a$a.

c

Hence state the equation of the function.

Easy
1min

By comparing it to the function $y=\sqrt{x}$y=x, state the equation of the square root function that has been graphed.

Easy
1min

By considering the domain of the function that has been graphed, state its equation.

Easy
< 1min

The diagram shows the graph of the square root function $f\left(x\right)$f(x).

Easy
1min
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Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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