3. The graph of part of linear function h is shown on the grid. (a) Write an inequality to represent the domain of the part shown. Explain your answer.
(b) Write an inequality to represent the range of the part shown. Explain your answer.

a). (4, ∞)

b). (-∞, -2)

Step-by-step explanation:

Graph attached shows the part of a linear function 'h'.

a). A hollow point at x = 4 shows that the function is not defined at x = 4

   Function 'h' is defined for all x- values greater than 4.

    Domain of the linear function → x > 4 Or (4, ∞)

b). Since, the given function has output values (y-values) for every x > 4

    Range of the linear function → y < -2 Or (-∞, -2)

ur mom

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.