66.6k views
5 votes
Use the function g(x) = -5x + 17 to answer the questions. Which statements about g(x) are true?

A) The x-intercept of g is 17.
B) The range of g is all real numbers.
C) The value for x is the output for g.
D) The domain of g is all real numbers.
E) The graph of g is the graph of y = -5x + 17.

User MariaZ
by
7.7k points

1 Answer

4 votes

Final answer:

The correct statements about the function g(x) = -5x + 17 are that its range is all real numbers, its domain is all real numbers, and its graph is represented by y = -5x + 17.

Step-by-step explanation:

When analyzing the function g(x) = -5x + 17, we can evaluate the given statements as follows:

  • A) The x-intercept of g occurs when g(x) = 0. Solving for x, we get 0 = -5x + 17, which simplifies to x = 17/5 or 3.4. Therefore, the x-intercept is 3.4, not 17. This statement is false.
  • B) The range of g is all real numbers because it is a linear function with a non-zero slope, meaning it can take any value on the y-axis. This statement is true.
  • C) The value for x is the input for g, not the output. This statement is false.
  • D) The domain of g is all real numbers since there are no restrictions on the values that x can take for a linear function. This statement is true.
  • E) The graph of g is indeed the graph of y = -5x + 17 because g(x) represents the y-value for any given x. This statement is true.

Therefore, the correct statements about the function g(x) are B) The range of g is all real numbers, D) The domain of g is all real numbers, and E) The graph of g is the graph of y = -5x + 17.

User Bleu
by
7.7k 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