MHF4U - Course Review Question and answers 100% correct
2025/2026
1. What is a 8. What are inverse relations?
func- tion?
2. How can you
test to see if a
relation is a
function?
3. What is
another way to
describe a
function?
4. How can a
func- tion be
repre-
sented?
5. What is
absolute
value?
6. What are the
characteristics
or properties
of graphs and
func- tions?
7. How do you
sketch a
func- tion?
1/
11
, MHF4U - Course Review Question and answers 100% correct
2025/2026
A function is a relation in
which there is a unique
output for each input.
The vertical line test -if a f(x) = |x| Is the absolute value function. On a number line, this function
vertical line crosses the describes the distance of any number f(x) from the origin.
relation twice, it is not a
function. Domain and range, intervals of increase and decrease, X intercepts and
why intercepts, symmetry even/odd - The odd function: rotational
symmetry at the origin; f(x) = -f(-x) - The even function: symmetry on the y-
axis; f(x) = f(-x), continuity and discontinuity and and behaviour.
Each value of the
independent variable
corresponds to one value of You must analyze the turning points (point where function changes from
the dependent variable. increasing to decreasing or vice versa) and transformations y = af(k(x-d))
+ c Horizontal and vertical stretches/compressions must be performed
before translations.
Functions can be
represented graphically The graph of the inverse function is a reflection on the line y = x. Not all
numerically or algebraically.
inverse relations are functions: domain and/or range may need to be
restricted.
9.
2/
11
2025/2026
1. What is a 8. What are inverse relations?
func- tion?
2. How can you
test to see if a
relation is a
function?
3. What is
another way to
describe a
function?
4. How can a
func- tion be
repre-
sented?
5. What is
absolute
value?
6. What are the
characteristics
or properties
of graphs and
func- tions?
7. How do you
sketch a
func- tion?
1/
11
, MHF4U - Course Review Question and answers 100% correct
2025/2026
A function is a relation in
which there is a unique
output for each input.
The vertical line test -if a f(x) = |x| Is the absolute value function. On a number line, this function
vertical line crosses the describes the distance of any number f(x) from the origin.
relation twice, it is not a
function. Domain and range, intervals of increase and decrease, X intercepts and
why intercepts, symmetry even/odd - The odd function: rotational
symmetry at the origin; f(x) = -f(-x) - The even function: symmetry on the y-
axis; f(x) = f(-x), continuity and discontinuity and and behaviour.
Each value of the
independent variable
corresponds to one value of You must analyze the turning points (point where function changes from
the dependent variable. increasing to decreasing or vice versa) and transformations y = af(k(x-d))
+ c Horizontal and vertical stretches/compressions must be performed
before translations.
Functions can be
represented graphically The graph of the inverse function is a reflection on the line y = x. Not all
numerically or algebraically.
inverse relations are functions: domain and/or range may need to be
restricted.
9.
2/
11
