Function Notation with word problems (20Q)

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters like f, g, or h followed by parentheses containing the input variable, e.g., f(x).

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 equation and simplify. For example, if f(x) = 2x + 3, to find f(2), substitute 2 for x: f(2) = 2(2) + 3 = 7.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f when the input is x. It shows the relationship between the input and the output.

Front

If f(x) = 3x + 4, what is f(1)?

Back

f(1) = 3(1) + 4 = 7.

Front

What is the meaning of the variable x in function notation?

Back

In function notation, x is the independent variable or input value for which the function is evaluated.

Front

What is the output of the function g(x) = 5x - 2 when x = 4?

Back

g(4) = 5(4) - 2 = 20 - 2 = 18.

Front

How do you find the y-intercept of a linear function in function notation?

Back

To find the y-intercept of a linear function, set x = 0 in the function's equation and solve for f(0).

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function. It shows how much the output changes for a unit change in the input.

Front

If h(x) = -2x + 5, what is h(-3)?

Back

h(-3) = -2(-3) + 5 = 6 + 5 = 11.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input increases, the output decreases. This is indicated by a negative slope.