Front

What does the notation h(t) represent in the context of a function?

Back

h(t) represents the value of the function h at the input t, which can be interpreted as the output of the function for a specific input.

Front

If h(4) = 5, what does this indicate about the function h(t)?

Back

It indicates that after 4 weeks, the height of the plant is 5 inches.

Front

How do you evaluate a function at a specific point, such as f(-2) for f(x) = x + 3?

Back

To evaluate f(-2), substitute -2 for x in the function: f(-2) = -2 + 3 = 1.

Front

What is the result of evaluating h(x) = -9x + 5 at x = 8?

Back

h(8) = -9(8) + 5 = -72 + 5 = -67.

Front

How do you evaluate f(-2) for the function f(x) = x^2 + 3?

Back

Substitute -2 for x: f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

Front

What does the equation f(x) = 6x - 7 represent?

Back

It represents a linear function where the output f(x) is determined by multiplying x by 6 and then subtracting 7.

Front

How do you find the value of x when f(x) = 11 for the function f(x) = 6x - 7?

Back

Set the equation 6x - 7 = 11 and solve for x: 6x = 18, so x = 3.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be evaluated at a negative input, such as f(-2)?

Back

Evaluating a function at a negative input means substituting a negative value into the function to find the corresponding output.

Front

What is the significance of the output value when evaluating a function?

Back

The output value represents the result of the function for the given input, providing information about the relationship defined by the function.