Question

Which of the following points does Not lie on the graph of y =3x

Answer 1

Answer:

(2,6)

Step-by-step explanation:

The options of the questions are

(0,1) (1,3) (2,6) (3,27)

and the given function is    $y=3^x$

we know that

If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation

Verify each ordered pair

case 1) (0,1)

substitute the value of x and the value of y in the linear equation and then compare the results

$1=3^0$

$1=1$ ----> is true

so

The ordered pair lie on the graph of the given equation

case 2) (1,3)

substitute the value of x and the value of y in the linear equation and then compare the results

$3=3^1$

$3=3$ ----> is  true

so

The ordered pair lie on the graph of the given equation

case 3) (2,6)

substitute the value of x and the value of y in the linear equation and then compare the results

$6=3^2$

$6=9$ ----> is  not true

so

The ordered pair not lie on the graph of the given equation

case 4) (3,27)

substitute the value of x and the value of y in the linear equation and then compare the results

$27=3^3$

$27=27$ ----> is  true

so

The ordered pair lie on the graph of the given equation