Consider the graph of the function f(x) = 10^x

Mathematics

1 answer:

maw [93]2 years ago

5 0

The statement that describes a key feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)

<h3>How to analyze a function resulting from a transformation rule</h3>

According to the statement, we have an original function f(x) = 10ˣ and a transformation rule for horizontal translation g(x) = f(x + 4). By applying this rule, we have that g(x) = 10ˣ ⁺ ⁴, which have these features:

The y-intercept of g(x) is located at (0, 10000).
Horizontal asymptote of g(x) is y = 0.
There are no x-intercepts.

Therefore, the statement that describes a key feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)

To learn more on transformation rules: brainly.com/question/9201867

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The scores on an achievement test are normaly distributed with mean µ = 100 and standard deviation σ = 100. What should the scor

ser-zykov [4K]

Answer:

the student should score atleast 229 to be among the top 10%.

Step-by-step explanation:

in terms of the normal distribution, and if the table that you're using calculates the area of the normal distribution from the mean to a point x, only then what we are actually finding the value 'x' at which the z-score is at 40% (the rest 50% is already skipped by the table)

$P(0.4) = \dfrac{x - \mu}{\sigma}$