For the function below: f x = 1 x + 2 Write down the equation of the asymptotes.

The given function is f x = 1 x + 2 . Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x + 2 with f x = a x - h + k . We get h = - 2 and k = 0 . The equation of the horizontal asymptote is y = k and the equation of the vertical asymptote is x = h . So, y = 0 and x = - 2 Hence, the equation of the asymptotes is x = - 2 and y = 0 .

For the function below: f x = 1 x + 2 Write down the equation of the asymptotes.

The given function is f x = 1 x + 2 . Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x + 2 with f x = a x - h + k . We get h = - 2 and k = 0 . The equation of the horizontal asymptote is y = k and the equation of the vertical asymptote is x = h . So, y = 0 and x = - 2 Hence, the equation of the asymptotes is x = - 2 and y = 0 .

For the function below: f x = 1 x + 2 Write down domain and range.

The given function is f x = 1 x + 2 . Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x + 2 with f x = a x - h + k . We get h = - 2 and k = 0 . The domain of the rational function f x = a x - h + k is x ∈ R , x ≠ h . Here, x ≠ - 2 The range of the rational function f x = a x - h + k is y ∈ R , y ≠ k . Here, y ≠ 0 Hence, the domain of the function is - 2 and the range of the function is 0 .

For the function below: f x = 1 x - 5 + 8 Find the value of h and k .

The given function is f x = 1 x - 5 + 8 Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x - 5 + 8 with f x = a x - h + k . We get h = 5 and k = 8 . Hence, the value of h is 5 and the value of k is 8 .

For the function below: f x = 1 x - 5 + 8 Write down the equation of the asymptotes.

The given function is f x = 1 x - 5 + 8 Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x - 5 + 8 with f x = a x - h + k . We get h = 5 and k = 8 . The equation of the horizontal asymptote is y = k and the equation of the vertical asymptote is x = h . So, y = 8 and x = 5 Hence, the equation of the asymptotes is x = 5 and y = 8 .

For the function below: f x = 1 x - 5 + 8 Write down domain and range.

The given function is f x = 1 x - 5 + 8 . Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x - 5 + 8 with f x = a x - h + k . We get h = 5 and k = 8 . The domain of the rational function f x = a x - h + k is x ∈ R , x ≠ h . Here, x ≠ 5 The range of the rational function f x = a x - h + k is y ∈ R , y ≠ k . Here, y ≠ 8 Hence, the domain of the function is 5 and the range of the function is 8 .

For the function below: f x = 1 x - 11 Find the value of h and k .

The given function is f x = 1 x - 11 Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x - 11 with f x = a x - h + k . We get h = 0 and k = - 11 . Hence, the value of h is 0 and the value of k is - 11 .

For the function below: f x = 1 x - 11 Write down the equation of the asymptotes.

The given function is f x = 1 x - 11 Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x - 11 with f x = a x - h + k . We get h = 0 and k = - 11 . The equation of the horizontal asymptote is y = k and the equation of the vertical asymptote is x = h . So, y = - 11 and x = 0 Hence, the equation of the asymptotes is x = 0 and y = - 11 .

For the function below: f x = 1 x - 11 Write down domain and range.

The given function is f x = 1 x - 11 . Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x - 11 with f x = a x - h + k . We get h = 0 and k = - 11 . The domain of the rational function f x = a x - h + k is x ∈ R , x ≠ h . Here, x ≠ 0 The range of the rational function f x = a x - h + k is y ∈ R , y ≠ k . Here, y ≠ - 11 Hence, the domain of the function is 0 and the range of the function is - 11 .

For the function below: f x = 1 x - 1 + π Find the value of h and k .

The given function is f x = 1 x - 1 + π Find the value of h and k . Graphing rational functions of the form f x = a x - h + k . Now on comparing f x = 1 x - 1 + π with f x = a x - h + k . We get h = 1 and k = π . Hence, the value of h is 1 and the value of k is π .