Which statements are true of the graph of h(x) = ^3 square root of x-4 ? Check all that apply.
2 answers:
Answer: The true statements are,
The domain of h(x) is the set of all real numbers.
The range of h(x) is the set of all real numbers.
The graph of h(x) intercepts the x-axis at (4, 0).
Step-by-step explanation:
Here, the given function is,
-----(1)
Which is cubic root function,
Since, a cubic function can be written as ∛p(x), where p(x) is a polynomial,
We know that,
The all possible value of x in the polynomial p(x) = Set of all real numbers
⇒ The domain of a polynomial = Set of real all numbers
⇒ The domain of a cubic function = Set of real all numbers
Hence, the domain of given function h(x) = Set of all real numbers,
Similarly, the range of a polynomial is also the set of real numbers,
⇒ The range of given function h(x) = Set of all real numbers,
Now, for x-intercept, y = 0 or h(x) = 0,
From equation (1),
Thus, the x-intercept of h(x) is (4,0).
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Answer:
Option (b) is correct.
Step-by-step explanation:
Given expression "four times the square of a number is thirty-six"
We have to write it mathematically and choose the correct options out of given options.
Consider the given expression "four times the square of a number is thirty-six"
Then
let the number be x ,
Then four times the square of a number written mathematically as
And given "four times the square of a number is thirty-six" written mathematically as
Therefore, "four times the square of a number is thirty-six" written mathematically as
Option (b) is correct.