Radicals
True or false:
√16=8
True
Simplify the expression below:
(2x+3)+(x+4)
Explanation:
(2x+3)+(x+4)=(2x+x)+(3+4)=3x+7
Answer:
3x+7
This is the name for the process where a quantity increases rapidly by a constant percentage over equal time intervals.
What is exponential growth?
A function passes this "vertical" test if every vertical line intersects its graph at most once.
What is the Vertical Line Test?
To solve the equation 2x=82x = 82x=8, you do this to both sides.
What is divide by 2?
Simplify the expression below:
√9
The answer:
√9 = 3
Simplify the expression below:
(5x−2)−(2x+1)
Explanation:
5x−2)−(2x+1)=5x−2−2x−1=3x−3
Answer:
3x-3
The function f(x)=100⋅(0.85)^x represents this type of exponential behavior.
What is exponential decay?
A function that has only one output for each input is called this.
What is a function?
The solution to x+5=12 is this number.
What is 7?
Simplify the expression below:
√1+√4
The explanation:
√1+√4 =1+2=3
Answer:
3
Simplify the expression below:
x⋅(x+2)
Explanation:
x⋅(x+2)=x^2+2x
Answer:
x^2+2x
In the exponential function f(x)=3⋅2^x this number is called the base.
What is 2?
The graph of a function passes this test if no vertical line touches the graph more than once.
What is the Vertical Line Test?
An inequality that uses the symbol < means what?
What is “less than”?
Simplify the expression below:
√50
The answer:
5√ 2
What is the degree of the polynomial:
7x^2+3x+1
Answer:
The highest power of x is 2
The y-intercept of the function f(x)=a⋅b^x always occurs at this point.
What is (0,a)?
A function whose graph is symmetric about the y-axis is called this.
What is an even function?
If x>3, then x is any number that is this compared to 3.
What is greater than 3?
Simplify the expression below:
√3 * √12
The answer:
6
Evaluate the polynomial:
x^2+2x when x=3
Explanation:
3^2+2(3)=9+6=15
Answer:
15
Evaluate f(x)= 2^x when x=4
What is 16?
The value of a function when the input x=0x = 0x=0 is called this.
What is the y-intercept?
When you multiply or divide both sides of an inequality by a negative number, you must do this to the inequality sign.
What is reverse (flip) the inequality sign?