Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify to find the output.

Front

What does h(x) = -x^2 + 3x represent?

Back

This is a quadratic function, which is a polynomial function of degree 2.

Front

What is the value of h(-3) if h(x) = -x^2 + 3x?

Back

h(-3) = -(-3)^2 + 3(-3) = -9 - 9 = -18.

Front

What is g(x) = 5 - 6x?

Back

This is a linear function, which represents a straight line when graphed.

Front

What is the value of g(-5) if g(x) = 5 - 6x?

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Front

What does f(t) = -2t^2 + 1 represent?

Back

This is a quadratic function that opens downwards due to the negative coefficient of t^2.

Front

What is the value of f(2) if f(t) = -2t^2 + 1?

Back

f(2) = -2(2)^2 + 1 = -8 + 1 = -7.

Front

How do you find the x-value for which f(x) = -5 in f(x) = x + 3?

Back

Set x + 3 = -5 and solve for x: x = -5 - 3 = -8.

Front

What is the value of f(-5) if f(x) = -2x - 12?

Back

f(-5) = -2(-5) - 12 = 10 - 12 = -2.