Function Notation Practice

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically in the form f(x), where f is the function name and x is the input variable.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does g(3) represent in the function g(x)=9x+24?

Back

g(3) represents the output of the function g when the input x is 3. To find it, substitute 3 into the function: g(3) = 9(3) + 24 = 51.

Tags

CCSS.HSF.IF.A.2

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the output of f(0) in the function f(x)=3x^2+3?

Back

To find f(0), substitute 0 into the function: f(0) = 3(0)^2 + 3 = 3.

Tags

CCSS.HSF.IF.A.2

Front

How do you solve for x in the equation f(x)=78 for the function F(x)=3x^2+3?

Back

Set the equation 3x^2 + 3 = 78, then solve for x: 3x^2 = 75, x^2 = 25, x = 5 or x = -5.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that for at least one input value, there are multiple output values, indicating it is not a function.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1

Front

How do you evaluate a function at a given point?

Back

To evaluate a function at a given point, substitute the input value into the function's equation and simplify to find the output.

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input is zero.

Tags

CCSS.HSF-IF.C.7A