Is it a function??
True or False: Every relation is a function.
FALSE. All functions are relations, but not all relations are functions.
What kind of function is this?
A. Linear
B. Quadratic
C. Absolute Value
D. Exponential
B. This is a quadratic function! The shape made by this function is called a parabola.
What is f(4) when f(x)=2x?
f(4)=8
Fill in the blanks: The domain of a function is the set of all its ___values and the range is the set of all its ___values.
x-values make up the domain, while y-values make up the range!
Queen Lili'uokalani was the first and only female monarch of which kingdom?
A. England
B. Mayan
C. Hawaii
D. Australia
C. Hawaii
Does this graph represent a function?
Nope! Notice that it doesn't pass the vertical line test.
Draw a linear function!
Any straight line across the coordinate plane will do here.
When f(x)=x+3, what is f(-1)?
f(-1)=-1+3 = 2
What is the range of the function given on the board?
{-2,13,47}
Who is the current vice president of the USA?
Kamala Harris
Which chart (A or B) represents a function?
B is a function; A is not. Remember that 2 ordered pairs with different x-values CAN have the same y-value, but 2 ordered pairs with the same x-value CANNOT have different y-values.
Draw a graph of something that isn't a function.
Anything that fails the vertical line test gets points!
If f(x)=4x+5, what value of x gives the result f(x)=25?
4x+5=25
4x=20
x=5, so f(5)=25
True or False: The range of the function f(x)=x2 DOES NOT include any negative numbers.
TRUE. When we square a number, regardless of whether it's positive or negative, the result must be positive (or zero)!
Which state was the first to give women the right to vote?
A. Wyoming
B. Rhode Island
C. California
D. New York
A. Wyoming. They were also the first state to elect a female governor!
Yes! Functions do not necessarily need to be continuous lines. A set of ordered pairs can be a function if each input had one unique output.
Draw the function formed by the following coordinate pairs: (-2,6),(-1,3),(0,2),(1,3),(2,6).
For bonus points: What is the equation of this graph?
Everyone with the correct drawing gets points! This graph represents a quadratic function.
The equation is f(x)=x2+2
Evaluate f(x)=x2-5x+1 for x=-2.
f(-2)=(-2)2-5(-2)+1 = 4-(-10)+1 = 15
What is the domain of the function on the board?
Bonus: What is its range?
Domain: -3 ≤ x ≤ 3
Range: 0 ≤ y ≤ 5
Which US women's national team is considered the most successful internationally in their sport?
A. Basketball
B. Volleyball
C. Baseball
D. Soccer
D. Soccer
Draw a t-chart of x and y values that represents any function!
Anything that adheres to the criteria for functions: Each x-value must have a unique y-value.
What do we call the shape made by a quadratic function?
A parabola!
Write your own function f(x)=??? and evaluate it at x=10.
Bonus: Write your answer as a coordinate pair: (x,y).
Tutor discretion needed.
All real numbers!
Katherine Johnson, an American mathematician, was one of the first women of color to work as a scientist at which United States agency?
Hint: You know it as a four-letter acronym.
NASA