Can someone explain to me why my book's answer to the question, "For what values of x is f(x) > 0" is [0, ∏︎/2) ∪︎ (3∏︎/2,5∏︎/2) ∪︎ (7∏︎/2, 4∏︎] and not 0, 2∏︎, and 4∏︎? Is the question not asking for values of x where y is greater than zero?

See explanation

Step-by-step explanation:

Question "For what values of x is f(x) > 0" means that you should determine the values of x for which corresponding value of f(x) is greater than 0.

The graph of the given function is placed above the x-axis and below the x-axis.

Points at which the graph intersects the x-axis are x-intercepts (or zeros of the function). For these values of x, f(x)=0.

f(x)>0 when the graph is above the x-axis (all corresponding values of y or f(x) are positive).

The diagram shows that the graph of f(x) is above the x-axis for all

At the function f(x) gains it maximum value of 4.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

y > 1/3x

y < = -x + 4

hope this : )