Basic Mathematics20795 marksNumerical: domain range, graph shiftsDomain and range of functions
Find the domain and range of the function f(x) = sqrt5x + 10. Draw the graph of the function y = x2 shifted up by 1 unit, down by 2 units, also shift 3 units to left, and 2 units right with new position of function. [2+3]
Find the domain and range of the function $f(x) = \sqrt{5x + 10}$. Draw the graph of the function $y = x^2$ shifted up by 1 unit, down by 2 units, also shift 3 units to left, and 2 units right with new position of function. [2+3]
- Function: $f(x) = \sqrt{5x + 10}$ - Base function to transform: $y = x^2$ - Transformations: up 1 unit, down 2 units, left 3 units, right 2 units --- (a) Domain and Range of $f(x) = \sqrt{5x + 10}$ The expression under the square root must be non-negative: $$5x + 10 \geq 0$$ $$5x \geq -10$$ $$x...