Evaluating Functions Algebraically

Front

Evaluate f(-1) when f(x)=x²+x-12

Back

f(-1) = (-1)² + (-1) - 12 = 1 - 1 - 12 = -12

Front

If h(a) = 3 - 2x², find h(-3).

Back

h(-3) = 3 - 2(-3)² = 3 - 2(9) = 3 - 18 = -15

Front

Evaluate the function f(x)= -6x+10 for f(5)

Back

f(5) = -6(5) + 10 = -30 + 10 = -20

Front

Evaluate f(-2) when f(x)=x²+x-12

Back

f(-2) = (-2)² + (-2) - 12 = 4 - 2 - 12 = -10

Front

If -2 is an element of the domain, for f(x) = x² + 3, what is the corresponding element of the range?

Back

f(-2) = (-2)² + 3 = 4 + 3 = 7

Front

Definition: Function

Back

A relation that assigns exactly one output for each input from its domain.

Front

Definition: Domain of a function

Back

The set of all possible input values (x-values) for a function.

Front

Definition: Range of a function

Back

The set of all possible output values (y-values) for a function.

Front

Evaluate f(0) when f(x) = 2x + 5

Back

f(0) = 2(0) + 5 = 5

Front

Evaluate f(3) when f(x) = x² - 4x + 1

Back

f(3) = 3² - 4(3) + 1 = 9 - 12 + 1 = -2