Math Exam Grade 11 with Accurate
Solutions
What is a relation - correct answer-A set of ordered pairs
What is a function - correct answer-A relation in which for every 1st element (x) there is
one and only one 2nd element (y)
What is the parent/base function of a linear function - correct answer-y=x
What is the parent/base function of a linear function graphed - correct answer-
What is the parent/base function of a quadratic function - correct answer-y=x²
What is the parent/base function of a quadratic function graphed - correct answer-
What is the parent/base function of a radical function - correct answer-y=√x
What is the parent/base function of a radical function graphed - correct answer-
Increases to the right but has a horizontal asymptope
What is the parent/base function of a rational function - correct answer-y=1/x
What is the parent/base function of a rational function graphed - correct answer-
What does a rational function have - correct answer-Vertical and horizontal asymptope
What is domain - correct answer-The set of all 1st (x) coordinates of a function
What is range - correct answer-The set of all 2nd (y) coordinates of a function
What are imaginary numbers - correct answer-The square root of a negative number
What is an asymptope - correct answer-A line a graph approaches but will not hit
What is the vertical line test - correct answer-If it is possible to draw a vertical line
through a graph that hits the graph more than once then the graph does not represent a
function
What are quadratic functions - correct answer-Equations of degree 2
, What is the equation that models quadratic functions - correct answer-f(x)= ax²+bx+c
What are parabolas - correct answer--Two identical curved arms meet at a single point
-Produce max/min heights
How can the max/min height of a parabola be found - correct answer-Vertex of the
parabola is determined
How to find the x intercepts of a parabola - correct answer--Factor
-Quadratic formula
What are the different methods to factor - correct answer--Common factor
-Product and sum
-AC criss cross/decomposition
-Difference of squares
-Complete square
-Partial factor
How do you determine the number of solutions to a quadratic equation - correct answer-
Find the discriminant
How do you find the discriminant - correct answer-b²-4ac
How can you read the discriminant - correct answer-•b²-4ac>0⇒2 solutions
•b²-4ac=0⇒1 solution
•b²-4ac<0⇒No real solution
What do you find for max/min - correct answer-Vertex
What do you use to solve for a quadratic equation - correct answer--Factoring
-Quadratic formula
What do you do to find the discriminant - correct answer-Find # of roots
What are a family of equations - correct answer-Share common characteristics of
having same roots
What is the linear equation - correct answer-ax+by+c=0 OR y=mx+b
What is an algebraic expression - correct answer-Math phrase [function]
What are equivalent algebraic expressions - correct answer-May not start looking the
same but will become the same when simplified
What are rational expressions - correct answer-Fractions (variables)
Solutions
What is a relation - correct answer-A set of ordered pairs
What is a function - correct answer-A relation in which for every 1st element (x) there is
one and only one 2nd element (y)
What is the parent/base function of a linear function - correct answer-y=x
What is the parent/base function of a linear function graphed - correct answer-
What is the parent/base function of a quadratic function - correct answer-y=x²
What is the parent/base function of a quadratic function graphed - correct answer-
What is the parent/base function of a radical function - correct answer-y=√x
What is the parent/base function of a radical function graphed - correct answer-
Increases to the right but has a horizontal asymptope
What is the parent/base function of a rational function - correct answer-y=1/x
What is the parent/base function of a rational function graphed - correct answer-
What does a rational function have - correct answer-Vertical and horizontal asymptope
What is domain - correct answer-The set of all 1st (x) coordinates of a function
What is range - correct answer-The set of all 2nd (y) coordinates of a function
What are imaginary numbers - correct answer-The square root of a negative number
What is an asymptope - correct answer-A line a graph approaches but will not hit
What is the vertical line test - correct answer-If it is possible to draw a vertical line
through a graph that hits the graph more than once then the graph does not represent a
function
What are quadratic functions - correct answer-Equations of degree 2
, What is the equation that models quadratic functions - correct answer-f(x)= ax²+bx+c
What are parabolas - correct answer--Two identical curved arms meet at a single point
-Produce max/min heights
How can the max/min height of a parabola be found - correct answer-Vertex of the
parabola is determined
How to find the x intercepts of a parabola - correct answer--Factor
-Quadratic formula
What are the different methods to factor - correct answer--Common factor
-Product and sum
-AC criss cross/decomposition
-Difference of squares
-Complete square
-Partial factor
How do you determine the number of solutions to a quadratic equation - correct answer-
Find the discriminant
How do you find the discriminant - correct answer-b²-4ac
How can you read the discriminant - correct answer-•b²-4ac>0⇒2 solutions
•b²-4ac=0⇒1 solution
•b²-4ac<0⇒No real solution
What do you find for max/min - correct answer-Vertex
What do you use to solve for a quadratic equation - correct answer--Factoring
-Quadratic formula
What do you do to find the discriminant - correct answer-Find # of roots
What are a family of equations - correct answer-Share common characteristics of
having same roots
What is the linear equation - correct answer-ax+by+c=0 OR y=mx+b
What is an algebraic expression - correct answer-Math phrase [function]
What are equivalent algebraic expressions - correct answer-May not start looking the
same but will become the same when simplified
What are rational expressions - correct answer-Fractions (variables)