Domain of a given function is the set of "input" values for which the relations and functions is defined. For instance, the domain of cosine would be all real numbers, while the domain of the square root would be only numbers greater than or equal to 0 (ignoring complex numbers in both cases). In a representation of a function in a xy Cartesian coordinate system, the domain is represented on the x axis (or abscissa).
The x-intercept of a line is the point at which the line crosses the x-axis.The y-coordinate of the
point slope form where a line intersects the x-axis is 0. So, the x-intercept of a line can also be found by substituting y = 0 in the equation of the line.
Let's see a example on this from help solving slope of a line problems in algebra ii
Question:-
Find the domain,x-intercept and vertical Asymp for h(x)=log(4)(x-3)
Answer:-
consider h(x)=log(4)(x-3)
h(x)=log(x-3)/log4
domain : x-3 > 0
x > 3
x-intercept : h(x)=log(x-3)/log4
0 = log(x-3)/log4
0 = log(x-3)
log1 = log(x-3)
1 = x-3
x = 4
vertical Asymp : 3
The x-intercept of a line is the point at which the line crosses the x-axis.The y-coordinate of the
point slope form where a line intersects the x-axis is 0. So, the x-intercept of a line can also be found by substituting y = 0 in the equation of the line.
Let's see a example on this from help solving slope of a line problems in algebra ii
Question:-
Find the domain,x-intercept and vertical Asymp for h(x)=log(4)(x-3)
Answer:-
consider h(x)=log(4)(x-3)
h(x)=log(x-3)/log4
domain : x-3 > 0
x > 3
x-intercept : h(x)=log(x-3)/log4
0 = log(x-3)/log4
0 = log(x-3)
log1 = log(x-3)
1 = x-3
x = 4
vertical Asymp : 3
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