Precalculus Jeopardy

Domain/Range

100

To find the range of a function, which axis do you need to observe?

y-axis

200

find the domain of the function y=(x+7)²+3

All Real Numbers

300

(W)Find the range of the function y=3^(x+1)+2

[2, infinity) OR x is greater than or equal to 2

400

(W)Find the range of the function y=5^(x-2)+4

[4, infinity) OR x is greater than or equal to 4

Functions

100

(W)Find the equation of a line in slope-intercept form that passes through (1,4) with a slope of 3.

y=3x+1

200

How can you tell if a function is indeed a function?

It passes the vertical line test; All of the inputs (x values) are different values

300

given that f(x)=1-2x and g(x)=7+3x, find f(g(2))

-25

400

(W)given that f(x)=1-2x and g(x)=7+3x, find g(f(x))

10-6x

Polynomials and imaginary #'s

100

What is the numerical value of i^2?

-1

200

(W)Perform the indicated operation: (4-i)(3+1)

13 + i

300

(W)What is the factored form of x²-6x+5

(x-1)(x-5)

400

(W)Perform the indicated operations (8-i)(7+2i)

58 +9i

Logarithms

100

Evaluate the expression log₅125

3

200

Evaluate the expression log₈(1/8)

-1

300

(W)Expand the log expression log₂(4a²b³)

2 + 2log₂a + 3log₂b

400

(W)condense the log expression 4log₈a +log₈b -2log₈c

log₈(a⁴b/c²)

Exponents

100

Simplify the exponential expression 3x⁴*x⁵

3x⁹

200

(W)Simplify the expression 10xy³ * 3x²y

30x³y⁴

300

simplify the following expression 7x^-8*4x⁷

28/x

400

(W)Evaluate the expression (3x⁴y²)³

27x¹²y⁶