Precalc

Operations of Functions

100

What is f(x) + g(x) if

f(x)= 2x+3 and g(x)=4x+6

6x+9

200

What is f(x) / f(x) if

f(x)= 4x³-9x+4 and g(x)=13x+21

1

300

What is g(x) - f(x) if

f(x)= 2x-7 and g(x)=5x+3

3x+10

400

What is f(x) * g(x) if

f(x)= x+1 and g(x)=2x+2

2x²+4x+2

500

What is f(g(x)) if

f(x)= x³+3x²-2x+1 and g(x)=x⁴

x⁷+3x⁶-2x⁵+1

Polynomial Functions

100

Which of the following is not a polynomial function?

a. f(x)=5^x +4x+2

b. g(x)=x³

c. h(x)=x²-3x+1

a. f(x)=5^x +4x+2

200

Does y=x²-5x+9 have a minimum or a maximum?

Minimum 

300

What is one of the two solutions to this equation?

(3x-6)(x+7)=0

x= 2, -7

400

What is the highest degree term of the solution to this division problem? 

-3x²

500

Should one shade on the inside or the outside of this quadratic inequality?  y > -x² -3x +5

Outside

Functions and Their Inverse

100

Is this function even or odd? 

Odd

200

Is this function even, odd, or neither? 

Neither

300

Does this function have an inverse? Yes or No

No

400

What is the inverse of 

y = 2x 

y^-1=x/2

500

What is the inverse function of f(x)=x

f^-1(x)=x

Quadratic Functions

100

What is the vertex of the equation below.

(-1,-3)

200

What is the vertex of the graph y=x²

(0,0) "the origin" 

300

Factor 

(x²-8x+12)

(x-2)(x-6)

400

What is the axis of symmetry of the equation

y=x²-2x+4

x=1

500

What is the little formula to calculate "the discriminant"?

b²-4ac

Misc

100

Average rate of change is the change in x over the change in y.  True or False?

False

200

What is the quadratic formula?

300

What is instantaneous rate of change?

the rate of change at a particular instant

400

What is i⁹⁹?

-i

500

What type of discontinuity is being depicted in this image? 

Removable (hole) discontinuity