86.7k views
5 votes
Please identify the characteristics for the following graph
fill in the blank​

Please identify the characteristics for the following graph fill in the blank​-example-1

1 Answer

3 votes

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)

User Douglasrlee
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories