Jeopardy

Quadratic Equations

100

What is the standard form of a quadratic function?

f(x)=ax²+bx+c

200

Factor: f(x)=x²-5x+6

(x-2) (x-3)

300

Find the vertex: f(x)=2x²-8x+6

Vertex: (2,-2)

400

Solve the equation: 3x²+2x-7=0

-1±√22/5

Complex Numbers

100

What is the value of i²?

-1

200

Complex Conjugate of 5-7i

5+7i

300

Simplify: (3+2i) (2-5i)

16-11i

400

Simplify: 3-i/2-i

1+i

Exponential Functions

100

What is the general form of an exponential functions?

f(x)=a*b^x

200

What is the y-intercept of f(x)=5*2^x

y-intercept: 5

300

Describe the end behavior of f(x)=2^x

As x→∞, f(x)→∞

As x→-∞, f(x)→0

400

You invest $1000 at an annual rate of %5 compounded monthly. How much after 3 years?                                           A=P(1+r/n)^nt

=1161.62

Logarithmic Functions

100

Evaluate: log₁₀(1000)

x=3

200

Solve: log(x+3) = log (4)

x=3

300

Expand: log₅(m³n⁷/t²) using logarithmic properties.

3log₅(m)+7log₅(n)-3log₅(t)

400

Solve: 9+log₅(7w) =11 for w

w=25/7