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3 years ago

Find f(-6) f(x) = 2^x

Mathematics

1 answer:

Korvikt [17]3 years ago

6 0

Answer:

f(-6) = 1/64

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Step-by-step explanation:

Step 1: Define

f(x) = 2ˣ

f(-6) is x = -6 for function f(x)

Step 2: Evaluate

Substitute in x [Function]: f(-6) = 2⁻⁶
Exponential Rule - Rewrite: f(-6) = 1/2⁶
Exponents: f(-6) = 1/64

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Answer:

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3 years ago

Y=2x-4 What is the five ordered pairs and completing the input/output table

kati45 [8]

Answer:

{(0, -4), (1, -2), (2, 0), (3, 2), (4, 4)}

Input values (x) = {0, 1, 2, 3, 4}

Output values (y) = {-4, -2, 0, 2, 4}

Step-by-step explanation:

Given the linear equation, y = 2x - 4, you could practically choose any input value (for x), to have an output value (for y).

If x = 0:

y = 2(0) - 4

y = 0 - 4

y = -4

First ordered pair: y-intercept = (0, -4)

If x = 1:

y = 2(1) - 4

y= 2 - 4

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Second ordered pair: (1, -2).

If x = 2:

y = 2(2) - 4

y= 4 - 4

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Third ordered pair: x-intercept = (2, 0).

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y = 2(3) - 4

y = 6 - 4

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Fourth ordered pair: (3, 2).

If x = 4:

y = 2(4) - 4

y = 8 - 4

y = 4

Fifth ordered pair: (4, 4).

Your input values (x) = {0, 1, 2, 3, 4}

Your output values (y) = {-4, -2, 0, 2, 4}

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