$\"\"$

The function is $\"\"$ .

(a)

The function is $\"\"$ .

Condition is $\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Observe the above calculations, conclude that if $\"\"$ decreases, the value of the function $\"\"$ is also decreases.

$\"\"$

(b)

The function is $\"\"$ .

Condition is $\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Observe the above calculations, in the interval $\"\"$ , the value of the function $\"\"$ is increases.

$\"\"$

(c)

The function is $\"\"$ .

Condition is $\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Consider $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Observe the above calculations, for the condition $\"\"$ , the value of the function $\"\"$ is increases.

$\"\"$

(d)

As $\"\"$ increases, $\"\"$ also increases.

All exponential curves of the form $\"\"$ and passes through the point $\"\"$ , if $\"\"$ .

The curve does not passes through the $\"\"$ -axis. It just gets closer and closer to the $\"\"$ -axis as we take smaller and smaller $\"\"$ -values.

Each exponential function passes through the point $\"\"$ because any nonzero number raised to the power of 0 is 1.

At $\"\"$ , the value of $\"\"$ equals the base because any number raised to the power of 1 is the number itself.

If the exponent is greater than one, then the value of the function $\"\"$ is increases.

If the exponent is less than one, then the value of the function $\"\"$ is decreases.

$\"\"$

(a) If $\"\"$ decreases, the value of the function $\"\"$ is also decreases.

(b) In the interval $\"\"$ , the value of the function $\"\"$ is increases.

(d)

If the exponent is greater than one, then the value of the function $\"\"$ is increases.

If the exponent is less than one, then the value of the function $\"\"$ is decreases.