Question

The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?

Answer 1

Answer:

True

Step-by-step explanation:

If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.

Answer 2

It is true that f(x)=$a^{x}$+4 will never cross the x axis if a is positive.

What is function?

Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.

How to find x intercept?

We have been given that f(x)=$a^{x} +4$ and we have to find whether it will cross x axis or not.

when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.

$a^{x}+4$=0

$a^{x}$=-4

taking log both sides,

log $a^{x}$=log(-4)

x log a=0.602059991+1.3437635i

x=(0.602059991+1.3437635i)/log a

when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.

Hence it is true that f(x)=$a^{x}$+4 will never cross the x axis if a is positive.

Leaarn more about function at https://brainly.com/question/10439235

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