124k views
3 votes
The graphs of f(x)= x³ + x² - 6x and g(x) = e^x-3-1 have which of the following features in common?

A. Range
B. X-intercept
C. Y-intercept
D. End behavior

The graphs of f(x)= x³ + x² - 6x and g(x) = e^x-3-1 have which of the following features-example-1
User Osgx
by
4.4k points

2 Answers

4 votes

Answer: Range

Explanation:

User Barry MSIH
by
4.0k points
4 votes

The feature that is common too f(x) and g(x) is: B. X-intercept

How to find the properties of the function?

The range of f(x) is: (-∞, ∞) As f(x) is a polynomial with odd degree

The range of g(x) is: (-2, ∞) as g(x) has a range of (0, +∞)

Thus, their ranges are different

They have different y-intercepts but the x-intercepts take place at (3, 0).

The end behavior for f(x) is:

As x → +∞, f(x) → +∞

As x → -∞, f(x) → -∞

The end behavior for g(x) is clearly different from f(x)

User Hellonearthis
by
4.2k points