function notation

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's expression. For example, if f(x) = x + 3, then f(2) = 2 + 3 = 5.

Tags

CCSS.HSF.IF.A.2

Front

What does f(x) = 2x + 1 represent?

Back

This represents a linear function where the output is calculated by multiplying the input 'x' by 2 and then adding 1.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If f(x) = x^2, what is f(3)?

Back

f(3) = 3^2 = 9.

Tags

CCSS.HSF.IF.A.2

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) can represent different functions. For example, f(x) = x + 1 and g(x) = 2x - 3 are two distinct functions.

Tags

CCSS.HSF-BF.A.1B

Front

How do you find the value of g(-4) if g(x) = 3 - x?

Back

Substitute -4 into g(x): g(-4) = 3 - (-4) = 3 + 4 = 7.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a function has infinite solutions?

Back

It means that there are countless values of 'x' that satisfy the equation, often occurring when the equation simplifies to a true statement for all 'x'.

Tags

CCSS.8.EE.C.7A

Front

What is the solution to the equation 8x + 20 = 2(4x + 10)?

Back

There are infinite solutions because both sides simplify to the same expression.

Tags

CCSS.8.EE.C.7A

Front

How do you solve for x in the equation 7(2x - 4) = 42?

Back

First, divide both sides by 7: 2x - 4 = 6. Then, add 4 to both sides: 2x = 10. Finally, divide by 2: x = 5.

Tags

CCSS.7.EE.B.4A

Front

What is the output of f(-2) if f(x) = x + 3?

Back

f(-2) = -2 + 3 = 1.

Tags

CCSS.HSF.IF.A.2