Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The values of a for which, the function $f(x)=a^x$ is increasing on R are given by:

Options:

$0<$ a $<\infty$

$-\infty<$ a $<\infty$

$1<$ a $<\infty$

$0 \leq$ a $<\infty$

Correct Answer:

$1<$ a $<\infty$

Explanation:

$f(x) =a^x$

so $f'(x)=a^x\log a>0$

$a^x>0$ and $\log a > 0$

so $a>1$

so $1<$ a $<\infty$