The key characteristics for the graph above include;
Domain: (-∞, ∞)
Range: (-3, ∞)
End behavior: As x → +∞, f(x) → +∞. As x → -∞, f(x) → +∞.
Increase: (1, ∞)
Decrease: (-∞, 1)
X-intercept: (-0.7, 0), (2.7, 0)
Y-intercept: (0, 2)
In Mathematics and Euclidean Geometry, a range is the set of all real numbers that connects with the elements of a domain for any function, usually read from bottom to top.
A domain is the set of all real numbers (x-values) for which a particular relation or function is defined.
By critically observing the graph of this exponential function , we can logically deduce the following domain (x-values from left to right) and range (y-values from bottom to top):
Domain = (-∞, ∞) or x ∈ R
Range = (-3, ∞) or y > -3
The end behavior of the graph of this quadratic function is that as x approaches positive infinity (+∞), f(x) approaches positive infinity (+∞). As approaches negative infinity (+∞), f(x) approaches positive infinity (+∞).
The intercept of a graph is the point where the graph of a line crosses either the x-axis or the y-axis on a coordinate plane. Based on the graph, the intercepts are as follows;
x-intercept: x = (-0.7, 0) and (2.7, 0).
y-intercept: y = (0, 2)