Evaluate 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

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

What does it mean to find h(-3) if h(x) = 2x^2 - 5x + 7?

Back

It means to substitute -3 for x in the function h(x) and calculate the result.

Front

Evaluate h(-3) for h(x) = 2x^2 - 5x + 7.

Back

h(-3) = 2(-3)^2 - 5(-3) + 7 = 40.

Front

What is the formula for f(x) = (1/2)(x + 5) - 3?

Back

This is a linear function where you can find the output for any input x.

Front

Evaluate f(-9) for f(x) = (1/2)(x + 5) - 3.

Back

f(-9) = (1/2)(-9 + 5) - 3 = -5.

Front

What is g(x) = 3x^2 - 5?

Back

This is a quadratic function where the output is determined by squaring the input, multiplying by 3, and then subtracting 5.

Front

Evaluate g(-2) for g(x) = 3x^2 - 5.

Back

g(-2) = 3(-2)^2 - 5 = 7.

Front

What does g(6) mean if g(x) = -2x^2 + 9?

Back

It means to substitute 6 for x in the function g(x) and calculate the result.

Front

Evaluate g(6) for g(x) = -2x^2 + 9.

Back

g(6) = -2(6)^2 + 9 = -63.