Mathematic 1 revision

Question 0

Functions

Answer 0

No solutions
- b2-4ac<0

Stationary point
- dy/dx=0, inverse doesn’t exist
If dy/dx</>0, no turning point, inverse exist.

For inverse of quadratic
- if the function is to the left of stationary point, sign of square root is -ve
Otherwise, opposite.

*g’(x) & g-‘(x)
Dy/dx & inverse

Range of sin, cos
-deduce based on graph

Question 1

Quadratic

Answer 1

b2-4ac=0

• Tangent to curve
• Equal roots

decreasing function
- dy/dx<0
-negative gradient
Otherwise, opposite

Curve lies above x-axis
Find min point, coordinates> 0
Or dy/dx=0, coordinates>0

Form equation from given roots
x2-sorx+por