Question

8)
Which of the following statements are true about linear functions? Select all that apply.
(2 points)

• There are no y-intercepts.
• The rate of change is constant.
• There are, at most, two x-intercepts.
• The domain is comprised of all real numbers.
• The range is comprised of positive real numbers.

Answer 1

explain

Answer 2

- The rate of change is constant.
- There are, at most, two x-intercepts.
- The domain is comprised of all real numbers.

Answer 3

Sure!

1) The rate of change is constant: This statement is true for linear functions. The rate of change, also known as the slope, is constant in a linear function. This means that for every unit increase in the independent variable (usually x), there is a constant increase or decrease in the dependent variable (usually y).

2) There are, at most, two x-intercepts: This statement is true for linear functions. The x-intercept is the point where the graph of the function crosses the x-axis. In a linear function, there can be at most one or two x-intercepts, because the graph is a straight line.

3) The domain is comprised of all real numbers: This statement is true for linear functions. The domain of a function is the set of all possible input values (x-values). In a linear function, the domain is all real numbers because the function is defined for all real values of x.

I hope this helps! Let me know if you have any more questions.