Functions, Domains, and Foundations
Evaluate f(x)=-(4x+2) if x=7
What is -30
Determine the leading coefficient, degree, and end behavior of the following polynomial: 6x^3+4x^2+2x-12
Leading coefficient: 6
Degree: 3
End behavior: falls to the left and rising to the right, or y -> negative infinity, x-> negative infinity, and as y -> positive infinity, x-> positive infinity
What is the logarithmic form of the exponential expression 10^2 = 100?
log_10 100 = 2 or log 100 = 2
Find the solution to the system using the substitution method
y = 3x - 1
7x + 2y = 37
What is (3, 8)
Given the points write a function rule (0,0); (1,3); (2,6)
What is y=3x?
solve the following polynomial equation x^3 -5x^2 -2x+24
x=-2, 3, 4
Solve log 5x = log 2x + 9 (Double)
x = 3
Find the solution to the system using the elimination method:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
find f+g if f(x)=x+2 and g(x)=x^2+3x-4
x^2+4x-2
what are the factors of x^2-144
(x+12)(x-12)
solve 3^4x-3=27^x
x=3
Find the solution to the system using the substitution method
3s - 2t = 4
t = 2s - 1
{} What is (-2, -5)
find the inverse function of f(x)=4x-7
f-1(x)=x/4+7/4
What are the zeros of x^3+2x^2-5x-6
x= -3, -1, 2
A bank account starts with $425 and earns 6.25% interest annually. How much money will be in the account in 15 years assuming no transactions have occurred.
$1055.17
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
What is the domain of a function g(x)=8/3-x
Domain = (-∞,3)U(3,∞)
Use polynomial division to rewrite the following function: 8x^4-6x^3+2x^2+3x+4/((2x^2)-1)
4x^2−3x+3+(7/2x^2−1)
Use the product, quotient, and power rules of logarithms to expand logarithm log_3(27a^3)
what is, =log_3(27)+3log_3(a)
find the solution to the system using the elimination method
2x - 4y = 12
-8x + 16y = -48
What is infinitely many solutions?