Question

".Which of the following is a true statement about the function f(x) = - |x+1|+5?

• the rang of the function is [5,♾).
•the graph is symmetric about the line x=1 .
•the y-intercept is (0,5).
•there are two x-intercepts."

Answer 1

The true statement about the function f(x) = - |x+1|+5 is that the y-intercept is (0,5).

Step-by-step explanation:

The true statement about the function f(x) = - |x+1|+5 is that the y-intercept is (0,5).

To find the y-intercept, we set x = 0 and solve for y. Substituting x = 0 into the function, we have:

f(0) = -|0+1|+5 = -|1|+5 = -1+5 = 4

Therefore, the y-intercept is (0, 4).