The domain of all step functions is all real numbers true or false

Solution:

The domain of all step functions is all real numbers :True

As we know that the domin of a function is defined as the set of values of the variable for which the given function is defined.

Irrespective of the kind of function, domain will be always real numbers.

Hence in our case of step function, the domain will be real numbers only.

Hence the domain of the all the steps functions is all real numbers  only.

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step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is