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India
Class XI

Intersections of Graphs by other methods I

Interactive practice questions

Consider the following linear equations:

$y=5x-7$y=5x7 and $y=-x+5$y=x+5

a

Plot the lines of the two equations on the same graph.

Loading Graph...
b

State the values of $x$x and $y$y which satisfy both equations.

$x$x = $\editable{}$

$y$y = $\editable{}$

Easy
2min

Consider the functions $f\left(x\right)=-3\left(x^2-3\right)$f(x)=3(x23) and $g\left(x\right)=-6x$g(x)=6x.

Easy
2min

Below is the graph of $y=-x^2-2x+3$y=x22x+3.

We want to solve the equation $x^2-x-2=0$x2x2=0 graphically by finding the point of intersection of $y=-x^2-2x+3$y=x22x+3 and a straight line graph.

Easy
5min

Consider the functions $f\left(x\right)=5x+5$f(x)=5x+5 and $g\left(x\right)=2^x+5$g(x)=2x+5.

Medium
2min
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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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