14+(-13)−16
select all the statements about the expression that are true.

answer choices:

it is equivalent to 14−3 because the expression (-13)−16 is equivalent to 13−16.

it is equivalent to 1−16 because the expression 14+(-13) is equivalent to 14−13.

the value of the expression is -15 because 14+(-13)−16 is the same as (14−16)−13.

the value of the expression is 17 because 14+(-13)−16 is the same as (14+16)−13.

The second and third ones are the true ones 

Hello there!

To find the increasing intervals for this graph just based on the equation, we should find the turning points first.

Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3

Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x

This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.

This means that the interval by which this parabola is increasing is...
(-∞,3/2)

PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.

I really hope this helps!
Best wishes :)