What is the range of the function f/x − X 5 )( X 1?

Answer: The range of the function f (x) = − ( x + 5 ) ( x + 1 ) is all real numbers less than or equal to 4.

What is the domain and range of f/x )=( 1 5 x?

Algebra Examples 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. The range is the set of all valid y values.

What is the domain of function 1 x 5?

Algebra Examples Set the denominator in 1x−5 1 x – 5 equal to 0 to find where the expression is undefined. Add 5 to both sides of the equation. The domain is all values of x that make the expression defined.

What is the range of Y 1 X?

This particular function y=1x is a reciprocal function, and the only real number which cannot be written as the reciprocal of a real number is 0; therefore, the range of the function is all real numbers except for 0 .

Which function in vertex form is equivalent to f/x )= x 2 x 1?

The vertex form of the given quadratic function, f(x) = x2 + x + 1, is (x + 1/2)2 = y – 3/4.

What are the domain and the range of f X?

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. (In grammar school, you probably called the domain the replacement set and the range the solution set.

How do you find a domain and range?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

What is the range of U V X?

The UV region covers the wavelength range 100-400 nm and is divided into three bands: UVA (315-400 nm) UVB (280-315 nm) UVC (100-280 nm).

Is F x continuous at x 5?

So f(x) isn’t continuous at x = 5.

What is the domain and range of the function f/x )= √ x 5?

The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .

What is the range of f(x) = x2 + 5?

The range of f (x) = x 2 + 5 is given by the interval: [5, +∞) Example 4 Find the Range of function f defined by f (x) = -2 x 2 + 4 x – 7

What is the domain of f(x)?

For f (x) to be defined, the term under the Square-root should be greater than or equal to zero. x−5 ≥0 x ≥ 5 So, the domain is [5,∞)

What is the domain and range of 2x + 5?

The domain of the given function is R and therefore x takes all values in the interval (-∞ , +∞). The exponent 2x + 5 takes all values in the interval (-∞ , +∞), we can therefore write the following inequality (basic exponential function always positive) The range of the given function is given by the interval (-∞ , 2).

How do you find the range of the exponent 2x + 5?

The exponent 2x + 5 takes all values in the interval (-∞ , +∞), we can therefore write the following inequality (basic exponential function always positive) The range of the given function is given by the interval (-∞ , 2). Note the the left hand side of the inequality is equal to f (x). Hence