Question

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

What are the domain and range of the function on the graph?

The domain includes all integers, and the range is y ≥ 0.
The domain includes all integers, and the range is y > 0.
The domain includes all real numbers, and the range is y ≥ 0.
The domain includes all real numbers, and the range is y > 0.

The graph will begin at a lower point on the y-axis.
The graph will increase at a faster rate.
The graph will increase at a slower rate.
The y-values will continue to increase as x-increases.
The y-values will each be less than their corresponding x-values.

Answer 1

The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.

Explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.

Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)