How do you find the domain of Ln?

How do you find the domain of Ln?

The domain of the function y=lnf(x) is: f(x)>0 . The range of a function is the domain of the inverse function. The inverse function of the logarithmic function is the exponential function.

What is the domain of log?

Remember that since the logarithmic function is the inverse of the exponential function, the domain of logarithmic function is the range of exponential function, and vice versa. In general, the function y=logbx where b,x>0 and b≠1 is a continuous and one-to-one function.

What are the domain and range of the function?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Is domain left to right?

Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.

Is the input the domain?

Given a function f , the set x values (inputs) is the domain of f , and the set y values ( outputs ) is the range of f . The domain of a function f is all of the values for which the function is defined.

What is the domain of a vertical line?

In this example, no matter where a vertical line is drawn it intersects the graph of the function. This indicates that the domain of the function is the Real Numbers.

Is domain horizontal or vertical?

Explanation: The domain is how much the function takes x-wise, in the horizontal axis. As y=−1 is a horizontal line at y=−1 , horizontally-wise it takes all real numbers, from −∞ to +∞ Therefore, the domain is ℝ.

Are vertical asymptotes and domain the same?

A vertical asymptote represents a value at which a rational function is undefined, so that value is not in the domain of the function.

What is the domain of a rational function?

The domain of a rational function includes all real numbers except those that cause the denominator to equal zero.

What is the domain of y =- 2?

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=2 is a straight line perpendicular to the y-axis at point (0,2) , which means that the range is a set of one value {2} .

What is the range of y =- 2?

y=−2 is a straight line perpendicular to the y-axis at point (0,−2) , which means that the range is a set of one value {−2} .

Is Y 2 a function?

2 Answers By Expert Tutors The principle of a function is that each coordinate of the x axis is represented once. This equation is considered a function because each x-coordinate is represented once. The fact that y=2 is represented twice is a non-issue. This is NOT a function.

Is Y =- 2 a linear equation?

“Linear” means that the graph or drawing of the function is a straight line. Any equation with a single independent variable (often an ‘x’) that is not exponential ( x2,x3… ) is linear. Yes.

Is Y 2 a relation?

1 Expert Answer. X = y2 would be a sideways parabola and therefore not a function. If a vertical line passes thru two points on the graph of a relation, it is NOT a function.