Unit 4: Function Notation in Context

Front

What does f(8) represent in function notation?

Back

f(8) represents the output of the function f when the input is 8.

Front

If g(x) = 3x + 4, what does g(8) equal?

Back

g(8) = 3(8) + 4 = 28. This means that 8 packages of gum costs $28.

Front

How do you express that it was warmer at 9 a.m. than at 6 a.m. using function notation?

Back

f(9) > f(6) means the temperature at 9 a.m. is greater than at 6 a.m.

Front

What does it mean to find f(2)?

Back

Finding f(2) means to evaluate the function f at x = 2.

Front

Given f(x) = -4x - 10 and f(x) = 10, how do you find x?

Back

Set -4x - 10 = 10 and solve for x, which gives x = -5.

Front

What is function notation?

Back

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

Front

What does the term 'domain' refer to in functions?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does the term 'range' refer to in functions?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you interpret the slope in a linear function like g(x) = 3x + 4?

Back

The slope (3) indicates that for every additional package of gum sold, the price increases by $3.

Front

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

Back

The y-intercept is the value of the function when the input (x) is 0, indicating where the graph intersects the y-axis.