Made with Math

Functions

100

evaluate for x:

x=65+5y if y=5

what is x=90

200

if g(m)=m−4, solve g(m)=6

m=2

300

if g(x) = x² + 6, what is g(-3) and g(0)

what is

g(-3)=15

g(0)=6

400

f(x)= 4r^2+45r-10

what is f(-10) and f(4)

f(-10)= -60

f(4)= 234

500

write a function rule given the points:

(1,5);(1,5);(2,9);(-1,9)

what is x=1

Inverse Functions

100

find the inverse of f(x)=x³+10.

f^-1(x)=(x-10)³

200

give the inverse of the function f = {(4,7), (2,-3), (5,7),(1, 8)}

f^-1 = {(7,4), (-3,2), (7,5), (8, 1)}

300

find the inverse of the following function:

g(x)=(x+4)²

g^-1(x)=√x−4

400

Find the inverse of the function

f(x)=2+(x−3)^1/2

f^−1(x)=(x-3)^3 -2

500

find the inverse of the function:

g(x)=2x/1-x

g^-1(x)=x/2+x

Polynomials

100

multiply the polynomials:

6x²(2x⁴)

what is 12x⁶

200

simplify:

(4x^3-6x+10) +(3x^3+7x-5)

7x^3+x+5

300

evaluate the polynomials:

(c + 3)(c² - 4c + 1)

c^3−3c^2−9c+2

400

simplify:

(7x^(3)-2x^(2)-4)-(3x^(2)+7x-6)

what is 7x^3−5x^2−7x+2

500

Subtracting Polynomials 

6x^2-3x+4-(-2x^2+2x-2)

8x^2-5x+6

Linear Functions

100

write a linear function with a slope of -1/5 and a y-intercept of 5

f(x)=−1/5x+5

200

what is the slope and y-intercept of the following function?

y=-x/2+5

slope= -1/2

y-intercpet=5

300

Find an equation for the linear function, "f", if

f(0.4)=–5.9 and f(0.1)=11.5

f(x)=−58x+17.3

400

is the following a linear function?

x=2-1

yes, because x=1

500

A company sells cookies. They incur a fixed cost of $55,000 for rent, insurance, etc. It costs $0.25 to produce each cookie.

a) Write a linear model to represent the company's cost as a function of the number of cookies produced.

b) Find and interpret the y-intercept.

a. C(x)=0.25x+55,000

b) The y-intercept is (0,55,000). If the company does not produce a single cookie, they still incur a cost of $55,000.

Quadratic Functions

100

what is the y-intercept of the following function?

f(x)=x^2+16x-16

y= -16

what is (0,-16)

200

when does this function reach its minimum?

f(x)=x^2-2x+10

(1,9)

300

solve the equation using the quadratic formula:

x^2 – 5x – 24  =  0

what is

x=8

x=-3

400

solve the equation by factoring:

5x²+25x

what is 5x(x+5)

500

The path of an jet pilot is given the following function, where "h" is the height in yards and "t" is the time in seconds. 

h(t)=—3t2+30t+73

a) At what time does the pilot allow the jet reach its maximum height? 

b) What is the maximum height of the jet? 

c) When does the jet land (rounded to the nearest second)?

a) 5 secs

b) 148 yds

c) 12 secs