Topics
Quadratic Equations
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India
Class XI

Domain and range of quadratic functions

Lesson
Practice

Interactive practice questions

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Loading Graph...
A parabola that opens upward on a Cartesian plane with its vertex at $\left(-2,-4\right)$(−2,−4). The coordinates of the vertex are not explicitly given.
a

What is the $y$y-value of the absolute minimum of the graph?

b

Hence determine the range of the function.

$y\ge\editable{}$y≥

c

What is the domain of this function?

All real $x$x

A

$x\ge-4$x≥−4

B

$x\le-2$x≤−2

C

$x>-2$x>−2

D
Easy
1min

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Easy
< 1min

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Easy
< 1min

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

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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