Question

What type of function is sqrt(1-x²)?

a) Exponential Function
b) Trigonometric Function
c) Rational Function
d) Logarithmic Function

Answer 1

The type of function represented by sqrt(1-x²) is an Exponential Function that forms a curve decreasing as x values increase.

Step-by-step explanation:

The type of function represented by sqrt(1-x²) is a) Exponential Function.

When we simplify the expression sqrt(1-x²), we can see that it is a square root function, which is a type of exponential function. The function sqrt(1-x²) represents a curve that decreases as x values increase.

For example, if we plug in different x values into the function, we will get different y values that form a curve. When x is 0, the y value is 1. As x approaches 1 or -1, the y value approaches 0.