Question

5 multiple choice 1 point given $f(x) = 4sqrt{x} - 7$, identify the minimum value of the function. $y = 0$ $y = 4$ $y = -7$ $x = -7$ $x = 0$ $x = 4$

Explanation:

Step1: Identify domain of $\sqrt{x}$

The square root function $\sqrt{x}$ is defined for $x \geq 0$, and its minimum value is $\sqrt{0} = 0$.

Step2: Substitute min $\sqrt{x}$ into $f(x)$

Substitute $\sqrt{x}=0$ into $f(x) = 4\sqrt{x} - 7$:
$f(x) = 4(0) - 7 = -7$

Step3: Confirm the minimum is a $y$-value

The minimum value of the function is the output ($y$-value), not the input $x$-value.

Answer:

y = -7