Questions: Graph the given functions, (f) and (g), in the same rectangular coordinate system. Describe how the graph of (g) is related to the graph of (f). (f(x)=-3 quad g(x)=3)

Graph the given functions, (f) and (g), in the same rectangular coordinate system. Describe how the graph of (g) is related to the graph of (f). (f(x)=-3 quad g(x)=3)
Transcript text: Graph the given functions, $f$ and $g$, in the same rectangular coordinate system. Describe how the graph of $g$ is related to the graph of $f$. \[ f(x)=-3 \quad g(x)=3 \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Functions

The given functions are: \[ f(x) = -3 \] \[ g(x) = 3 \]

Step 2: Describe the Graphs

Both functions are horizontal lines. The graph of \( f(x) = -3 \) is a horizontal line at \( y = -3 \), and the graph of \( g(x) = 3 \) is a horizontal line at \( y = 3 \).

Step 3: Describe the Relationship

The graph of \( g(x) = 3 \) is a vertical translation of the graph of \( f(x) = -3 \) by 6 units upwards.

Final Answer

The graph of \( g(x) = 3 \) is a horizontal line 6 units above the graph of \( f(x) = -3 \).

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -5, "ymax": 5}, "commands": ["y = -3", "y = 3"], "latex_expressions": ["$f(x) = -3$", "$g(x) = 3$"]}

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A mass suspended by a spring that obeys Hooke's law (F=-k) will stretch the spring a distance x. In equilibrium, the spring pulls to balance the weight, mg, of the mass. The spring constant is "k", and the acceleration of gravity is "g". When the spring is stretched from equilibrium and released, the mass will oscillate up and down at a frequency f=1 / 2π√(k / m). Imagine a coiled spring that is extended a distance 0.09 by a mass hanging from it: it is then pulled down more and released so that it oscillates up and down. How long does it take to go up to its maximum and back down to its point of release? Give your answer in seconds but do not include the units when you enter it here on Blackboard. Hint: It does not depend on the mass!
failedAnswered
When σ is unknown, the margin of error is computed by using
failedAnswered
What is the surface area of the cylinder with height 8 in and radius 7 in? Round your answer to the nearest thousandth.
failedAnswered
If a function f is increasing on (a, b) and decreasing on (b, c), then what can be said about the local extremum of f on (a, c) ? The local maximum of f on (a, c) is f(b). The local minimum of f on (a, c) is f(b). The local maximum of f on (a, c) is f(c). The local maximum of f on (a, c) is f(a). The local minimum of f on (a, c) is f(c).
failedAnswered
The mean finish time for a yearly amateur auto race was 185.91 minutes with a standard deviation of 0.396 minute. The winning car, driven by Frank, finished in 185.28 minutes. The previous year's race had a mean finishing time of 110.6 with a standard deviation of 0.117 minute. The winning car that year, driven by Jane, finished in 110.25 minutes. Find their respective z-scores. Who had the more convincing victory? Frank had a finish time with a z-score of Jane had a finish time with a z-score of (Round to two decimal places as needed.)