Describe how to verify whether expressions are equivalent and explain the purpose of verifying equivalent expression

Equivalent expressions are expressions with equal values.

The purpose of verifying equivalent expressions is to check if the given expressions hold the same values or not.

The expressions are not given. So, I will give a general explanation.

Assume the expression is:

The above expression is an equivalent expression because x + x and 2x hold the same value.

Another expression is:

The above expression is not an equivalent expression because x + x and 3x do not hold the same value.

Read more about equivalent expressions at:

link

idk

step-by-step explanation:

i don't know

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.