Advanced Review of Functions

Function Vocab

100

True or False-A relation is a set of ordered pairs

What is TRUE?

200

The set of first coordinates of a relation or a function

What is Domain?

300

The set of second coordinates in a relation or a function

What is the range?

400

A relation that assigns exactly one value in the range to each value in the domain?

What is a function?

500

The test to tell if a graph is a function

What is the Vertical Line Test?

Evaluating Function at value

100

Evaluate f(x)=-3x if x=2

What is -6?

200

Evaluate f(x)=2x+1 if x=-2

What is -3?

300

Evaluate f(x)=-3x² - x if x=-6

What is -102?

400

Evaluate f(x)=25x + 4x³ if x=5

What is 625?

500

Evaluate f(x)=-(4x+2)² +3x³   if x=-7

What is -1705

Eval at an expression

100

Given k(t)=3t-3.    Find k(-t)

What is -3t-3?

200

Given p(x)=-2x².    Find p(-3x)

What is -18x²?

300

Given k(n)=2n+2    Find k(1+n²)  

What is 2n²+4?

400

Given f(t)=-t³-t².    Find f(-x)

What is x³-x²?

500

Given p(x)=x^2-x.    Find p(x-2)

What is x²-5x+6?

Function Operations

100

Given k(n)=n+2    and h(n)=2n 

Find (k+h)(n)  

What is 3n+2?

200

Given k(n)=n+2    and h(n)=2n 

Find (k-h)(n)  

What is -n+2?

300

Given k(n)=n+2    and h(n)=-6n-4 

Find (k-h)(n)  

What 7n+6?

400

Given k(n)=n+2    and h(n)=-6n-4

Find (k*h)(n)  

What is -6n²-16n-8?

500

Given k(n)=n²+2    and h(n)=n-7 

Find (k*h)(n)  

What is n³-7n²+2n-14?

Function Composition

100

Given k(n)=n+2    and h(n)=2n 

Find (k⁰h)(-3)  

What is -4?

200

Given k(n)=n+2    and h(n)=5n²-2n 

Find (h⁰k)(-5)  

What is 51?

300

Given k(n)=3n-3    and h(n)=4n+5 

Find (k(h(n))

What is 12n+12?

400

Given g(n)=n²-2    and h(n)=4n+4 

Find (g(h(n))  

What is 16n²+32n+14?

500

Given f(x)=-x+2    and g(x)=-3x²+2

Find (f(g(2x) )

What is 12x²?