GRADE 10 FUNCTIONS
SESSION 1
LEARNER NOTES
TERM EXPLANATION
Function A relation for which each element of the domain ( corresponds to exactly
one element of the range ().
Domain is the set of input/ x-values for which the graph or function has been defined.
Range is the set of output/ y-values for which the graph or function has been defined.
x - intercept This is where the graph intersects the x-axes.
y - intercept This is where the graph intersects the y-axes
Turning Point The turning point of the parabola is the point where the parabola turns or
change direction. This point has an -coordinate and a -coordinate
Axes of Symmetry The axis of symmetry is the vertical line, that divides the graph so that the one
half is a mirror image of the other.
Asymptotes These are lines that the graph approaches but never touches or intersect
,EXAMPLE 1.
Draw the function with equation:
1.) Shape:
-intercept: Let
3.) -intercept: Let
EXAMPLE 2.
Given the sketch determine equation of the function in the form
EXAMPLE 3
Determine the equation in the form (given 2 points)
,
SESSION 1
LEARNER NOTES
TERM EXPLANATION
Function A relation for which each element of the domain ( corresponds to exactly
one element of the range ().
Domain is the set of input/ x-values for which the graph or function has been defined.
Range is the set of output/ y-values for which the graph or function has been defined.
x - intercept This is where the graph intersects the x-axes.
y - intercept This is where the graph intersects the y-axes
Turning Point The turning point of the parabola is the point where the parabola turns or
change direction. This point has an -coordinate and a -coordinate
Axes of Symmetry The axis of symmetry is the vertical line, that divides the graph so that the one
half is a mirror image of the other.
Asymptotes These are lines that the graph approaches but never touches or intersect
,EXAMPLE 1.
Draw the function with equation:
1.) Shape:
-intercept: Let
3.) -intercept: Let
EXAMPLE 2.
Given the sketch determine equation of the function in the form
EXAMPLE 3
Determine the equation in the form (given 2 points)
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