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.

Tags

CCSS.8.F.A.1

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function's equation.

Tags

CCSS.HSF.IF.A.2

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Tags

CCSS.6.NS.C.7C

Front

How do you evaluate f(x) = |2 - 8x| for x = 9?

Back

Substitute 9 into the function: f(9) = |2 - 8(9)| = |2 - 72| = |-70| = 70.

Tags

CCSS.HSF.IF.A.2

Front

What is the formula for a quadratic function?

Back

A quadratic function is generally expressed as f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find f(-3) for the function f(x) = -2x^2 + 1?

Back

Substitute -3 into the function: f(-3) = -2(-3)^2 + 1 = -2(9) + 1 = -18 + 1 = -17.

Tags

CCSS.HSF.IF.A.2

Front

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

Back

Substitute 2 into the function: f(2) = -2(2)^2 + 1 = -2(4) + 1 = -8 + 1 = -7.

Tags

CCSS.HSF.IF.A.2

Front

How do you evaluate f(x) = 2x^2 + 5x - 17 for x = -1?

Back

Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 17 = 2(1) - 5 - 17 = 2 - 5 - 17 = -20.

Tags

CCSS.HSF.IF.A.2

Front

What is the output of f(4) for the function f(x) = x^2 - 5x?

Back

Substitute 4 into the function: f(4) = (4)^2 - 5(4) = 16 - 20 = -4.

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the coefficients in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola (upward or downward), 'b' affects the position of the vertex, and 'c' is the y-intercept.

Tags

CCSS.HSF-IF.C.7A