The graph of f(x) = One-half(2.5)x and its reflection across the x-axis, g(x), are shown. On a coordinate plane, 2 exponential f
2 answers:
Answer:
The range of g(x) will be all real numbers less than zero.
Step-by-step explanation:
The graph of and its reflection across the x-axis, g(x), are given.
Now, another function g(x) will be given by ............ (1)
Since by reflection across the x-axis the curve will change its y-value only by sign and the x-value remains the same.
Now, g(x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0,-0.5) and goes through (2,-3).
Therefore, the range of the equation (1) will be all real numbers less than zero. (Answer)
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Answer:
864 m²
Step-by-step explanation:
- First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
- Let A' be the total area of the four small rectangles and A" the area of one small rectangle
- A' = 4 A"
- A' = 4 [(
)*(
)]
- A' = 4*58*48
- A' = 11136 m²
- Substract the A' from A to get the area of the road
Let A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²
Answer:
Up on the left, up on the right
Step-by-step explanation:
The given function is:
The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.
The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.
Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.