Question

Which of the following statements are true? check all of the boxes that apply. Mr001-1. Jpg mr001-2. Jpg mr001-3. Jpg mr001-4. Jpg.

Answer 1

Answer:

answers are A and C

Explanation:

trust

Answer 2

The domain of a function is the set of input values the function can take, while the range is the set of output values of the function

The true statements are: statements (a) and (c)

(a) Range and the domain of $f(x) = \sqrt x$ and $f(x) = 2\sqrt {x$.

Both functions are square root functions, and they have the same range and domain

Hence, statement (a) is true

(b) Range and the domain of $f(x) = \sqrt x$ and $f(x) =-2 \sqrt {x$.

Both functions are square root functions, with the same domain.

However, $f(x) = -2\sqrt x$  has a negative range

Hence, statement (b) is false

(c) Range and the domain of $f(x) = \sqrt x$ and $f(x) = -\sqrt {x$.

Both functions are square root functions, and they have the same domain but different range

This is so because

$f(x) = -\sqrt x$  has a negative range

Hence, statement (a) is true

(d) Range and the domain of $f(x) = \sqrt x$ and $f(x) =\frac 12 \sqrt {x$.

Both functions are square root functions, with the same domain and range.

Hence, statement (d) is false

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