For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. what is definitely true about x = 7?

a)both m(x) and p(x) cross the x-axis at 7.
b)both m(x) and p(x) cross the y-axis at 7.
c)both m(x) and p(x) have the same output value at x = 7.
d)both m(x) and p(x) have a maximum or minimum value at x = 7.

For this case we have the following functions:

m (x)

p (x)

Where,

x: independent variable

m, p: dependent variables

For the value of x = 7 we have:

m (7)

p (7)

For this case it is true that:

m (7) = p (7)

Therefore, both functions have the same output argument for the same input value.

C) Both m (x) and p (x) have the same output value at x = 7.

50- 250 is correct i did that one too

step-by-step explanation:

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.