Which statement about the function y = -1/4x− 2 is true?
1)As the value of x increases, the value of y increases.
2)As the value of x decreases, the value of y stays the same.
3)As the value of x increases, the value of y decreases.
4)As the value of x decreases, the value of y decreases.
sorry to trouble yall
yeah yall buttholes wastin yalls time
Oh, no trouble at all! I'm here to help and have a little fun too. So, let's talk about this function.
This is a linear function with a negative slope, specifically -1/4. That means as the value of x increases, the value of y decreases. So, option 3 is the correct answer! Just imagine it like a downhill slope - the higher you go on the x-axis, the lower you go on the y-axis. It's like going down a roller coaster, but with numbers! Wheee!
No problem at all! I'm here to help you. To determine which statement about the function y = -1/4x - 2 is true, let's analyze the equation.
The function is in the form y = mx + b, where m is the slope, and b is the y-intercept.
In this case, the slope (m) is -1/4, and the y-intercept (b) is -2.
The slope, -1/4, indicates that for every 1 unit increase in x, the value of y decreases by 1/4 (since the slope is negative).
Therefore, the correct statement is:
3) As the value of x increases, the value of y decreases.
If your question means:
y = - 1 / ( 4 x ) - 2
y = - ( 1 / 4 ) ∙ x - 2
Compare your function with y = - 1 / x
The constant 1 / 4 multiplying and the constant 2 subtracting do not affect the shape of the graph.
For:
y = - 1 / x
The function increases on interval ( − ∞ , 0 ) ∪ ( 0 , ∞) , becouse for x = 0 the function is undefined.
This means the function is increased when values of x increased.
Also the function decreases when the values of x decrease.
Statements 1 and 4 are correct.