Question Type 5: Finding the range of different simple functions Exercises

Find the range of the function $f(x) = -\sqrt{x-2} + 1$.

Find the range of the quadratic function $f(x) = -(x-3)^2 + 4$.

Determine the range of the square root function $f(x) = \sqrt{x+3}$.

Determine the range of the rational function $f(x) = \frac{1}{x-1}+3$.

Find the range of the exponential function $f(x) = e^{8x} + 2$.

Determine the range of the logarithmic function $f(x) = \ln(x-1)$.

Find the range of the linear function $f(x) = 3x + 5$.

Find the range of the function $f(x) = 2 - e^{-x}$.

Determine the range of the quadratic function $f(x) = x^2 + 1$.

Find the range of the reciprocal function $f(x) = \frac{1}{x}$.

Determine the range of the rational function $f(x) = \frac{x}{x-1}$.

Determine the range of the exponential function $f(x) = e^x + 2$.