Given the parent function f(x)=x^3 give the best description of the graph of y=x^3+3 .

1 answer:

4 0

The correct answer is A. +3, unless inside parentheses, indicates a positive vertical change, thus the function would move upward. If the function looked like 2(x^3 + 3) the change from the +3 would be horizontal (left) instead.

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The graph of f(x) = 2^x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 2.

Harrizon [31]

$\bf slope = \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{f(x_2)-f(x_1)}{x_2-x_1}\impliedby 
\begin{array}{llll}
\textit{average rate}\\
\textit{of change}
\end{array}
\\\\\\
f(x)=2^{x}+1\quad 
\begin{cases}
x_1=0\\
x_2=2
\end{cases}\implies \cfrac{f(x_2)-f(x_1)}{x_2-x_1}\implies \cfrac{(2^{2}+1)-(2^{0}+1)}{2-0}$

just to point out, you didn't include the graph, in this case, it doesn't matter much, that's not the case most times... just so you know

6 0

4 years ago

____ regular polygons are symmetrical.

Zielflug [23.3K]

D, all apply
You can cut all in half and they will be equal

4 0

3 years ago

Read 2 more answers

Which equation represents the line that passes through points (0, 6) and (2, 0)?

Sidana [21]

Answer:

$y=-3x+6$

Step-by-step explanation:

Equation of line passing through two points:

$Equation\ of\ line\ passing\ through\ two\ points\ (x_1,y_1)\ and\ (x_2,y_2)\\\\(y-y_1)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)\\\\(x_1,y_1)=(0,6)\\\\(x_2,y_2)=(2,0)\\\\(y-6)=\frac{(0-6)}{(2-0)}(x-0)\\\\y-6=\frac{-6}{2}(x-0)\\\\y-6=-3(x-0)\\\\y-6=-3x\\\\y=-3x+6$