Select all of the following functions that have a range of y ≥ 0.

1 answer:

7 0

A,B,E
C in case y=1, im not entierly sure what is implied by identity unless youre talking composition or inverses

You might be interested in

insens350 [35]

Answer:

a = 6, b = - 12

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms to those on the right side.

a(4x - 10) ← distribute parenthesis

= 4ax - 10a

Compare to 24x + 5b , then

4a = 24 ( divide both sides by 4 )

a = 6

Then

5b = - 10a = - 10(6) = - 60 ( divide both sides by 5 )

b = - 12

7 0

2 years ago

Nikolay [14]

Answer:

$\displaystyle \frac{7}{24}$

General Formulas and Concepts:

Algebra I

Calculus

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Step-by-step explanation:

Step 1: Define

$\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]$

Step 2: Find Area

[Integral] Set up area: $\displaystyle \int\limits^2_1 {\frac{1}{x^4}} \, dx$
[Integral] Rewrite: $\displaystyle \int\limits^2_1 {x^{-4}} \, dx$
[Integral] Reverse Power Rule: $\displaystyle \frac{-1}{3x^3} \bigg| \limits^2_1$
[Area] Fundamental Theorem of Calculus: $\displaystyle \frac{7}{24}$