To answer this question first we need to find out the pattern. To do this we will subtract. Lets do it:-
24 - 12 = 12
12 - 6 = 6
6 - 3 = 3
So the pattern in this is adding by the same number, Lets do it:-
3,6,12,24,
24 + 24 = 48
3,6,12,24,48,
48 + 48 = 96
3,6,12,24,48,96
96 + 96 = 192
3,6,12,24,48,96,192
192 + 192 = 384
3,6,12,24,48,96,192, 384
384 + 384 = 768
3,6,12,24,48,96,192, 384, 768
768 + 768 = 1536
3,6,12,24,48,96,192, 384, 768, 1536
1536 + 1536 = 3072
3,6,12,24,48,96,192, 384, 768, 1536, 3072
3072 + 3072 = 6144
3,6,12,24,48,96,192, 384, 768, 1536, 6144
6144 + 6144 = 12288
3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288
12288 + 12288 = <span>24576
</span>3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288, 24576
24576 + 24576 = <span>49152
</span>3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288, 24576, 49152
49152 + 49152 = 98304
3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288, 24576, 49152, 98304
So, d 15 term in dis pattern is 98304.
Hope I helped ya!! xD
Answer:
In order of appearance of boxes
- 3 (units)
- up
- all real numbers
- all real numbers
- y ≤ 3
- y ≥ 0
Step-by-step explanation:
The given function f(x) = -2x² + 3 belongs to the quadratic family of equations. A quadratic equation has a degree of 2. The degree is the highest power of the x variable in the function f(x)
The parent f(x) = x²
Going step by step:
2x² ==> graph x² is vertically stretched by 2. For any value of x in x², the new y value is twice that the old value. For example, in the original parent function x², for x = 2, y = 4. In the transformed function 2x², for x = 2, y = 2 x 4 = 8 so it has been stretched vertically. It becomes skinnier compared to the original
-2x² => graph is reflected over the x-axis. It is the mirror image of the original graph when viewed from the x-axis perspective
-2x² + 3 ==> graph is shifted vertically up by 3 units
Domain is the set of all x-input values for which the function is defined. For both x² and -2x² + 3 there are no restrictions on the values of x. So the domain for both is the set of all real numbers usually indicated by
-∞ < x < ∞
The range is the set of all possible y values for a function y = f(x) for x values in domain.
The range of f(x) = x² is x≥ 0 since x² can never be negative
Range of -2x² + 3 is x ≤ 3 : Range of -2x² is y ≤ 0 since y cannot be negative and therefore range of -2x² + 3 is y ≤ 3
