Most of the world's automobiles run on energy acquired from petroleum. Like all fossil fuels, petroleum is a nonrenewable energy resource. This means that it is a resource that cannot be replaced as quickly as humans use up existing supplies. Humans face a problem because once petroleum reserves begin to run out, there won't be enough fuel to power all the automobiles in the world. Which of the following is the best potential long-term solution to this specific problem of energy supply?

sorry, but you do not have posted the diagram.

this is more of a statement than a question. is there answers to go along with this, or is it opinion based?

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.