Jeopardy: Functions Edition

Linear Functions

100

Find g(x), where g(x) is the translation 3 units down of f(x)=x.

g(x)=x-3

200

Find g(x), where g(x) is the translation 5 units right and 8 units up of(x)=x.

g(x)=(x-5)+8

300

There is a line that includes the point (0, 0) and has a slope of 5. What is its equation in slope-intercept form?

y=5x

400

How does h(x)=x–1 change over an interval in x of length 3?

h(x) increases by 3

500

Find g(x), where g(x) is a reflection in the y-axis followed by a horizontal stretch by a factor of 3 and a translation 5 units right of f(x) = -3x.

g(x) = 9(x - 5)

Quadratic Functions

100

Find g(x), where g(x) is a translation 14 units up of f(x) = x²-6.

x²+8

200

If f(x)=1/16(x-3)²+3 has a focus at point (3, 7) what is the directrix? 

y = -1

300

Write a rule in intercept form for the graph of a function f(x) that touches the point (0, 15) and touches the x-axis at points (5, 0) and (9, 0).

f(x) = 3(x-5)(x-9)

400

Solve 2x² - 11 = -47.

3i√2, -3i√2

500

Write y = x²-12x+18 in vertex form.

y = (x - 6)² - 18

Cubic Functions

100

The graph of f(x) = x^3 is reflected across the x axis. The graph is then translated 11 units up and 7 units left. Write the equation of the function.

 g(x) = -(x+7)³ + 11

200

Determine whether the following function is even, odd, or neither: f(x) = -x³ + 2x - 9.

neither

300

Factor x³ - 125 completely.

(x - 5)(x² + 5x + 25)

400

 Factor z³ + 5z² - 4z - 20 completely.

g(x) = 3(x-4)³ + 3

500

Determine whether the binomial is a factor of the polynomial: f(x) = 2x³ + 5x² - 37x - 60; x - 4. 

 It is a factor.

Radical Functions

100

Simplify the radical expression √(x¹²).

x⁶

200

Add. Write your answer in the simplest form.

-2√ 4 +10√ 2.

6√ 2

300

Simplify the radical expression ⁵√ x²⁰y^13.

x⁴y^{2 5}√ y³

400

Simplify. Rationalize the denominator.

-10/(√6-√3)

(-10√3-10√6) /3

500

Simplify the expression (16xy/xy)^-7/4. Assume all variables are positive.

1/128

Exponential Functions

100

Tell whether the function represents exponential growth or exponential decay: y = (⅔)^x.

Exponential decay

200

Find f(x) = ⅓(6^x) when x = 2.

12

300

 State the growth or decay rate of y = a(0.5)^t/12

6% decay

400

You take a 325 milligram dosage of ibuprofen. During each subsequent hour, the amount of medication in your bloodstream decreases by about 29% each hour. Write an exponential decay model giving the amount y (in milligrams) of ibuprofen in your bloodstream t hours after the initial dose.

y = 325(0.71)^t

500

You deposit $5000 in an account that pays 2.25% annual interest. Find the balance after 5 years when the interest is compounded quarterly.

$5593.60