Answer
We observe from the above graph that:
I. The curves for functions $y=3^{x},y=10^{x}$ are rapidly increasing.
II. The curves for functions $y=(\frac{1}{3})^{x},y=(\frac{1}{10})^{x}$ are decreasing.
III. All curves of these function passes through the points
$(0, 1)$.
IV. The rate of the function $y=10^{x}$ is more than that of $y=3^{x}$ reason being $10 > 3$.
V. The curve $y=(\frac{1}{3})^{x}$ is the reflected image of the curve $y=3^{x}$ about Y-axis.
VI. The curve $y=(\frac{1}{10})^{x}$ is the reflected image of the curve $y=10^{x}$ about Y-axis.
VII. All of these functions represented by graphs approach to 0 as ${0 \to \infty}$ .
The graph is depicted as follows:
Work Step by Step
We observe from the above graph that:
I. The curves for functions $y=3^{x},y=10^{x}$ are rapidly increasing.
II. The curves for functions $y=(\frac{1}{3})^{x},y=(\frac{1}{10})^{x}$ are decreasing.
III. All curves of these function passes through the points
$(0, 1)$.
IV. The rate of the function $y=10^{x}$ is more than that of $y=3^{x}$ reason being $10 > 3$.
V. The curve $y=(\frac{1}{3})^{x}$ is the reflected image of the curve $y=3^{x}$ about Y-axis.
VI. The curve $y=(\frac{1}{10})^{x}$ is the reflected image of the curve $y=10^{x}$ about Y-axis.
VII. All of these functions represented by graphs approach to 0 as ${0 \to \infty}$ .
The graph is depicted as follows:
