Question

Please help! I'm not really good at graphs. ​

Answer 1

Step-by-step explanation:

ANSWER:-

y is proportional to x only if y increases and also, x increases.

Clearly, we can see the condition in "C" graph. Hence, 1st answer is C.

y = $\sqrt{x}$ only if we can see that in some extent, y>x. So, we can see that in "D" part.

Hence, D is the second answer.

Now, again e^x is a curve, which is almost decreasing, so it will also form a curve, and hence "A" is the answer to the third one.

And, now we are left with the fourth option, which is y is inversely proportional to x, which can be seen in "B" part.

Hence, I will reorder the sequence:-

• y proportional to x => C
• y proportional $\sqrt{x}$ => D
• y proportional to $\sf{e^x}$ => A
• y inversely proportional to x => B

Hence, the required answers.

Answer 2

In graph A, y is proportional to the square of x, parabolic graph.

In graph B, if x will increase, y will decrease, so y is inversely proportional to x, hyperbolic graph.

In graph C, if x will increase y will increase, it will lead to a straight line graph, so y is directly proportional to x.

In graph D, y is proportional to square root of x, parabolic graph.

• y ∝ x = C

• y ∝ √x = D

• y ∝ $e^{x}$ = A

• y ∝ $\dfrac{1}{x}$ = B

Note : y = $e^{x}$ is not quantitively parabolic, by this I mean exact value by value it's not same, it's qualitatively parabolic, by this I mean the shape of the graph of y = $x^{2}$ and $e^{x}$ is same. Though the correct term to be used for y=e^x certainly is ‘exponential’.

$\bold{Hope\;it \; helps\;!}$