If $$h(t) = \frac{1}{2}t + 7$$ , what is $$h(8)$$ ?

$$h(8) = \frac{1}{2}(8) + 7 = 4 + 7 = 11$$ .

Given $$f(x) = x^2 + 2x + 5$$ , find $$f(-3)$$ .

$$f(-3) = (-3)^2 + 2(-3) + 5 = 9 - 6 + 5 = 8$$ .

What is the dependent variable in a function?

The dependent variable is the output value that depends on the independent variable.

How do you convert a function value to a coordinate point?

If $$g(15) = -1$$ , the coordinate point is (15, -1).

What is the purpose of function notation?

Function notation provides a clear way to express the relationship between input and output values in mathematics.

What does $$f(x) = 5x - 25$$ represent?

It represents a linear function where the output is determined by multiplying the input x by 5 and then subtracting 25.

How do you evaluate a function at a specific point?

To evaluate a function at a specific point, substitute the input value into the function's equation.

What is the significance of the parentheses in function notation?

Parentheses indicate the input value for the function and help distinguish between different functions.

A function is a relation that assigns exactly one output for each input from a set of inputs.

What does it mean for a function to be linear?

A linear function is a function that graphs to a straight line, typically in the form $$f(x) = mx + b$$ , where m is the slope and b is the y-intercept.

Flashcard

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Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.F.A.1, HSF.IF.A.2, 8.F.B.4

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FLASHCARD QUESTION

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters to denote the function (like f, g, h) and parentheses to indicate the input value, e.g., f(x).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.IF.A.2

FLASHCARD QUESTION

Front

Back

Set the equation: 10 = 5x - 25. Solve for x: 5x = 35, x = 7.

Tags

CCSS.HSF.IF.A.2

FLASHCARD QUESTION

Front

Back

It represents the point (15, -1) on a graph, where 15 is the input and -1 is the output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

FLASHCARD QUESTION

Front

Back

The independent variable is 7.

Tags

CCSS.HSF.IF.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.IF.A.2

FLASHCARD QUESTION

Front

What is the definition of an independent variable in a function?

Back

The independent variable is the input value that can be changed freely, affecting the output of the function.

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