Q 1

f(x) = 149 - x2| as a piecewise function. (1 mark) c) Algebraically solve the equation |x2 + x - 2) = x + 3. Write your solution(s) rounded to the nearest thousandth (3 decimal places). Verify your solution(s) algebraically. (2 marks)a) Algebraically determine the absolute value function f(x) = |12 - 5x) as a piecewise function. (1 mark) b) Write the absolute value function f(x) = 149 - x21 as a piecewise function. (1 mark) c) Algebraically solve the equation |x2 + x - 2| = x + 3. Write your solution(s) rounded to the nearest thousandth (3 decimalThe graph of a quadratic function, f ( ac ) , has . a domain of x x ER} , . a range of {y y z -12.25, y . X-intercepts occurring at (-4, 0) and (3, 0), . and a y-intercept occurring at (0, -12). Sketch the graphs of y = f (a ) and of y = f(ac) | on the same grid. Label the x-intercepts and y-intercept of both functions.A function f(x) has the equation y = x2 - 9. a) State the equation of the reciprocal function. (0.5 mark) b) Graph the functions of f(x) and 1/f(x) on the same grid. (1 mark) c) Algebraically determine the co-ordinates of the invariant points to the nearest tenth and label these on your graph. (2 marks) d) State the equations of the vertical and horizontal asymptotes (to the nearest tenth) and label these on your graph. AA d21.bowvalleycollege.ca