Math 4 Unit 2 Functions Test Class 1A

Front

Given f(x) = 3x - 19, Evaluate f(-6)

Back

f(-6) = 3(-6) - 19 = -18 - 19 = -37

Front

Given f(x) = x + 2, and g(x) = x^2 + 2x - 1, find (g - f)(x) = ?

Back

(g - f)(x) = (x^2 + 2x - 1) - (x + 2) = x^2 + x - 3

Front

Evaluate g(-2) for the piecewise function g(x) = { 4 if x < 0; 4.6 if x = 0; 8 if x > 0 }

Back

g(-2) = 4.6

Front

Find the quadratic regression equation for the given data.

Back

f(x) = 0.0166962x^2 + 0.327578x + 8.1932

Front

If f and g are two functions defined by f(x) = 3x + 5 and g(x) = x^2 + 1, find g(f(x)).

Back

g(f(x)) = g(3x + 5) = (3x + 5)^2 + 1 = 9x^2 + 30x + 25 + 1 = 9x^2 + 30x + 26

Front

Definition: Function Composition

Back

The process of applying one function to the results of another function, denoted as (f ∘ g)(x) = f(g(x)).

Front

Definition: Quadratic Function

Back

A function of the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

Definition: Piecewise Function

Back

A function defined by multiple sub-functions, each applying to a certain interval of the domain.

Front

Definition: Linear Function

Back

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

Front

Definition: Evaluating a Function

Back

Substituting a specific value into the function to find the output.