On a coordinate plane, f (x) = x cubed + 4 curves up through (2, negative 3), has an inflection point at (0, 4), and curves up through (1, 5). G (x) = RootIndex 3 StartRoot x minus 4 EndRoot curves up through (negative 4, negative 2), has an inflection point at (4, 0), and curves up through (5, 1). Consider the function show. Explain why the graph of a function and its inverse are reflections over the line y = x. The ordered pairs (a, b) of a function are (–a, –b) for the inverse function.
The ordered pairs (a, b) of a function are (–b, –a) for the inverse function.
The ordered pairs (a, b) of a function are (a, b) for the inverse function.
The ordered pairs (a, b) of a function are (b, a) for the inverse function.

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The ordered pairs (a, b) of a function are (b, a) for the inverse function.

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step-by-step explanation:

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step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

there are infinitely many solutions.