Consider the graph of y = f \left( x \right):
Find the values of x for which f \left( x \right) = 0.
For what values of x is f \left( x \right) < 0?
For what values of x is f \left( x \right) > 0?
What is the x-coordinate of the vertex of f \left( x \right)?
Consider the graph of y = f \left( x \right):
For what values of x is f \left( x \right) < 0.
For what values of x is f \left( x \right) \geq 0?
How many real solutions are there to f \left( x \right) = 0?
Consider the function f \left( x \right) = 5 + 4 x - x^{2}:
Use the graph to solve the inequality
5 + 4 x - x^{2} > 0.
Consider the graph of y = f \left( x \right):
For what values of x is f \left( x \right) < 0?
For what value of x is f \left( x \right) \geq 0?
What is the axis of symmetry of f \left( x \right)?
What is the value of the discriminant of f \left( x \right)?
Consider the function f \left( x \right) = x^{2} - 4 x - 5.
Sketch the graph of the function.
Hence state the values of x for which f \left( x \right) \leq 0.
Consider the function f \left( x \right) = 3 x^{2} - 2 x - 8.
Solve the equation f \left( x \right) = 0.
Sketch the graph of the function.
Hence state the values of x for which f \left( x \right) \geq 0.
Consider the inequality \left(x - 3\right)^{2} \leq 0.
How many x-intercepts does the graph of y = \left(x - 3\right)^{2} have?
Solve the inequality.
Consider the function y = 2 x^{2} + 9 x + 8.
Determine the x-intercepts of the function.
Is the graph concave up or concave down?
Hence find the values of x for which y > 0.
Consider the function f \left( x \right) = x^{2} - 2 x.
Sketch the graph of the function.
Hence state the values of x for which f \left( x \right) \leq 8.
Consider the inequality x^{2} - 2 x \leq - x + 2.
Sketch the graphs of y = x^{2} - 2 x and y = - x + 2 on the same number plane.
State the x-values for the points of intersection.
Hence solve the inequality x^{2} - 2 x \leq - x + 2.
Consider the inequality x^{2} > 6 x - 5.
Sketch the graphs of y = x^{2} and y = 6 x - 5 on the same number plane.
State the x-values for the points of intersection.
Hence solve the inequality x^{2} > 6 x - 5.
Consider the inequality 3 x^{2} + x \geq 2 x^{2} + 2.
Sketch the graphs of y = 3 x^{2} + x and y = 2 x^{2} + 2 on the same number plane.
Hence or otherwise, solve the inequality 3 x^{2} + x \geq 2 x^{2} + 2.