The statement that is true about the function f(x) = 6x + 5 can be determined by analyzing its properties such as its slope, intercepts, and behavior as x varies.
First, let’s look at the slope of the function, which is the coefficient of x. In this case, the slope is 6. This tells us that for every unit increase in x, the value of f(x) increases by 6 units. This indicates that the function is increasing.
Next, we can examine the y-intercept, which occurs when x = 0. Plugging in 0 gives us:
- f(0) = 6(0) + 5 = 5
This means the y-intercept is at the point (0, 5).
In conclusion, one true statement about the function f(x) = 6x + 5 is that it is a linear function with a positive slope, indicating it consistently increases as x increases. Additionally, it crosses the y-axis at the point (0, 5).