Question

use your graphing calculator to sketch the graph of the function, then determine the domain and range of the function. y = -5x² + 6x - 1 graph the function using a graphing calculator. a. b. c. d. -10,10 by -20,20, xscl=1, yscl=2 -10,10 by -20,20, xscl=1, yscl=2 -10,10 by -20,20, xscl=1, yscl=2 -10,10 by -20,20, xscl=1, yscl=2 what is the domain? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the domain is (simplify your answer. type an inequality. use integers or decimals for any numbers in the inequality.) b. the domain is the set of all real numbers.

Explanation:

Step1: Identify the function type

The function \( y = -5x^2 + 6x - 1 \) is a quadratic function, which is a polynomial function.

Step2: Recall the domain of polynomial functions

Polynomial functions (including quadratic functions) are defined for all real values of \( x \). There are no restrictions on \( x \) (such as division by zero or taking the square root of a negative number) in a polynomial function. So, the domain of any polynomial function is the set of all real numbers.

Answer:

B. The domain is the set of all real numbers.