Function Notation and Evaluating Functions

If f(x) = 4x + 5, what is f(4)?

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CCSS.HSF.IF.A.2

What does the slope of a linear function represent?

• The slope indicates the maximum value of the function.

• The slope represents the rate of change of the function; it indicates how much the output value changes for a unit change in the input value.

• The slope shows the initial value of the function when the input is zero.

• The slope is the distance between two points on the graph.

Tags

CCSS.8.EE.B.5

What is function notation?

• Function notation is a way to represent a function using symbols, typically using the letter 'f' followed by the input variable in parentheses, such as f(x).

• Function notation is a method to calculate the derivative of a function.

• Function notation is a graphical representation of a function on a coordinate plane.

• Function notation is a way to express a function as a series of numbers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the y-intercept of a function?

• The point where the graph crosses the x-axis.

• The point where the graph crosses the y-axis, which occurs when x = 0.

• The maximum value of the function.

• The minimum value of the function.

What is a constant function?

• A function that varies with the input values.

• A function that always returns the same value regardless of the input, represented as f(x) = c, where c is a constant.

• A function that has no output for any input.

• A function that only returns values greater than zero.

For the function f(x) = -3x + 3, what is f(0)?

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Tags

CCSS.HSF.IF.A.2

Evaluate f(-1) if f(x) = 2x^2 + 5x - 3.

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Tags

CCSS.HSF.IF.A.2

How do you evaluate a function at a specific value?

• Substitute the value into the function's equation in place of the variable.

• Multiply the function's output by the value.

• Add the value to the function's output.

• Differentiate the function with respect to the value.

Tags

CCSS.HSF.IF.A.2

If a function is increasing, what does that mean?

• It means that as the input values increase, the output values also increase.

• It means that the output values decrease as the input values increase.

• It means that the output values remain constant as the input values increase.

• It means that the function has no relation between input and output values.

What does f(0) represent in function notation?

• The value of the function when the input is 0.

• The slope of the function at x=0.

• The maximum value of the function.

• The minimum value of the function.

Tags

CCSS.HSF.IF.A.2