Exponential and Logarithmic Functions

The graph of $y = Q^x$ will rise quicker than the graph of $y = P^x$ for values where $x > 0$.

The graph of $y = P^x$ will always remain above that of $y = Q^x$ since $P < Q$.

The graphs will intersect when plotted on the same coordinate plane for some positive value of $x$.

As $x$ approaches infinity, $y = P^x$ surpasses $y = Q^x$ in value regardless of $P$ and $Q$'s sizes.

10000000

104000

$100 \cdot e^{KT}$

10200

The x-intercepts of the graph are shifted to the right.

The graph shifts vertically upward by one unit.

The graph is reflected over the y-axis.

The graph becomes steeper with increasing x values.

Analytical evaluation

Graph plot comparison

Numerical estimation

Statistical regression analysis

The initial amount invested

The final total amount in the account

Zero dollars

Infinity dollars

Straight Angle

Obtuse Angle

Negative Degree

Full Rotation

The number that represents the exponent's value

The highest power that appears in an equation

The number that is raised to the power of the exponent

The coefficient standing next to the variable x

$g^{-1}(k) = \frac{\ln(e)}{\ln(5)} / (\ln(k)-7)$

$g^{-1}(k) = e^{-k+7}$

$g^{-1}(k) = \frac{\ln(k)}{\ln(5)} + 7$

$g^{-1}(k) = (k-7)e^{5}$

NOT APPLICABLE

At x=4

NOT APPLICABLE

NOT APPLICABLE

The arithmetic and exponential sequences would oscillate without a approachable limit.

The $n$th term of the exponential sequence would eventually far exceed that of the arithmetic sequence.

The arithmetic sequence's $n$th term would eventually far exceed that of the exponential sequence.

Both sequences' $n$th terms would approach the same finite limit as $n$ approaches infinity.