Random Math
The reciprocal of the sine function.
What is cosecant
Describe how to graph y=(x−2)^2+3
What is shift right 2, up 3
The solution to 2x+5=11
What is x=3
This rule says log(ab)= log a + log b
What is the product rule?
The unit circle value of sin(pi/2)
What is 1
The value of cos(3pi/2)
What is 1/2?
The degree of a polynomial with 3 x-intercepts and 2 turning points.
What is at least 3?
Solve: ln(x)=2
What is x=e^2
This rule describes how (f∘g)(x)is evaluated.
What is the Composition of Functions Rule?
The graph of this function has a domain of (−∞,0)∪(0,∞)and a vertical asymptote at x=0
What is f(x)=1/x
The leading term of f(x)= 3x^4-5x^2+7
What is 3x^4?
The end behavior of f(x)=−x^4+3x^2
What is both ends go down?
Solve: x^2−9=0
What is x=±3?
This rule states that when multiplying powers with the same base, you add the exponents
What is the Product of Powers Rule?
Write 2sin(x)cos(x) as a single trig function
What is sin(2x)
The range of f(x)=ln(x)
what is all real numbers?
The graph of a rational function has a hole at x=2. Why?
Because a factor (x−2) was canceled out.
Solve: 3^x=81
What is x=4
This identity expresses tan(x) in terms of sine and cosine.
What is tan(x)= sinx/cosx
Find the domain of the function:
f(x)= 1/x^2-9
What is all real numbers except x=3 x=-3
This transformation reflects the graph over the x-axis
What is multiplying the function by -1
This is the effect of a horizontal compression by a factor of ½ on the graph of f(x).
What is replacing x with 2x to get f(2x)?
logbase2(x−3)=4
What is x=19
This rule says that if f(x) is even, then f(−x)=f(x) and its graph is symmetric about the y-axis.
What is the Even Function Rule?
Solve the inequality:
(x+2)/(x-3) <0
What is −2<x<3