Question

Column 1

1.$Lo{g}_{a}x,a>1$

2.$Lo{g}_{a}x,0<a<1$

3.$a^x,a>1$

4.$a^x,0<a<1$

Column 2
Graph of P :

Graph of Q :

Graph of R :

Graph of S :

• A. 1 - s 2 - r 3 - p 4 - q
• B. 1 - p 2 - q 3 - r 4 - s
• C. 1 - r 2 - s 3 - q 4 - p
• D. 1 - p 2 - q 3 - s 4 - r

Answer 1

The correct option is A

1 - s 2 - r 3 - p 4 - q

1.Graph of $lo{g}_{a}xa>1x>0$

We know that when $a>1$

$F\left(x\right)=lo{g}_{a}x$ is an increasing Function.

Fo different values of x if we plot the graph it should look like

Graph of $lo{g}_{m}xwhenm>1$

2. Graph of $lo{g}_a^{x}when0<a<1$

Where $0<a<1$

$F\left(x\right)=lo{g}_a^x$ is a decreasing Function for different values of x if we plot the graph

Graph of $lo{g}_{m}xwhen0<m<1$

When $x_2>x_1\Rightarrow lo{g}_{a^{x}1}>lo{g}_{a^{x}2}$

3.Graph of $a^x,a>1$

4. Graph of $a^x,a<1$

Here, $F\left(x\right)=a^{x}a>0a\ne andx-R$

$y=a^x$ increases with increase om x, i.e., F(x) is increasing Function on R.