Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a specific input value.

Front

If f(x) = 2x + 5, what is f(0)?

Back

f(0) = 5.

Front

If f(x) = x^2, what is f(3)?

Back

f(3) = 9.

Front

What is the value of f(-2) if f(x) = 3x - 4?

Back

f(-2) = -10.

Front

If h(a) = 3 - 2a^2, find h(1).

Back

h(1) = 1.

Front

What is the output of f(x) = -2t^2 + 1 for t = 1?

Back

f(1) = -1.

Front

If g(x) = x + 4, what is g(-3)?

Back

g(-3) = 1.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.