Question

4.2.12b
part 2 of 3
hw score: 40.63%, 13 of 32 points
points: 0 of 1
use your graphing calculator to sketch the graph of the following function. then find the domain and rang
f(x)=x² + 2x - 15
choose the correct graph below. use the viewing window -10,10,2 by -20,20,4
a.
b.
c.
d.
find the domain of the function. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the domain is (-∞,∞)
(type an inequality or a compound inequality. use integers or fractions for any numbers in the expression )
b. the domain is all real numbers.

Explanation:

The function \( f(x)=x^{2}+2x - 15 \) is a quadratic function (a polynomial function). Polynomial functions, including quadratic functions, are defined for all real numbers. There are no restrictions on the values of \( x \) that can be plugged into the function (such as division by zero or taking the square root of a negative number, which would limit the domain), so the domain is all real numbers.

Answer:

B. The domain is all real numbers.