Evaluate Functions from graphs, tables, mapping diagrams

Front

What does it mean to evaluate a function from a graph?

Back

Evaluating a function from a graph involves finding the output value (y) for a given input value (x) by locating the point on the graph that corresponds to the input.

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CCSS.HSF.IF.A.2

Front

How do you find the value of a function at a specific point, such as h(0)?

Back

To find the value of a function at a specific point, substitute the input value into the function and solve for the output.

Tags

CCSS.HSF.IF.A.2

Front

What is the relationship between x and y in a function?

Back

In a function, each input value (x) is associated with exactly one output value (y). This relationship can be represented in various forms, including graphs, tables, and equations.

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What does it mean when a function is defined as f(x) = y?

Back

When a function is defined as f(x) = y, it means that for each input x, the function produces an output y. This notation indicates the dependency of y on x.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

How can you determine the x-value when given a specific y-value, such as y = -3?

Back

To determine the x-value for a specific y-value, you can look for the point on the graph where the y-coordinate equals the given value and read the corresponding x-coordinate.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What is the significance of the point (0, h(0)) on a graph?

Back

The point (0, h(0)) represents the value of the function h at x = 0. It indicates the y-intercept of the function on the graph.

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CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

How do you interpret the output of a function when given a specific input?

Back

Interpreting the output of a function involves understanding what the output value represents in the context of the problem or scenario being analyzed.

Tags

CCSS.HSF.LE.B.5

Front

What is the process for solving for x when given f(x) = a constant?

Back

To solve for x when given f(x) = a constant, set the function equal to the constant and solve the resulting equation for x.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean for a function to have multiple x-values for a single y-value?

Back

If a function has multiple x-values for a single y-value, it is not a function according to the definition of a function, which states that each input must correspond to exactly one output.

Tags

CCSS.8.F.A.1

Front

How can you use a table to evaluate a function?

Back

To evaluate a function using a table, locate the input value in the table and read across to find the corresponding output value.

Tags

CCSS.HSF.IF.A.2