Find accurate and reliable answers to your questions on IDNLearn.com. Our experts are available to provide in-depth and trustworthy answers to any questions you may have.

Find the [tex]\( y \)[/tex]-intercept of the function.

[tex]\[ y = 6^x \][/tex]

A. 0
B. 1
C. 6
D. 36


Sagot :

To find the [tex]\(y\)[/tex]-intercept of the function [tex]\(y = 6^x\)[/tex], you need to determine the value of [tex]\(y\)[/tex] when [tex]\(x = 0\)[/tex]. The [tex]\(y\)[/tex]-intercept is the point where the graph of the function crosses the [tex]\(y\)[/tex]-axis. This happens when the input ([tex]\(x\)[/tex]) is zero.

Here is the step-by-step process:

1. Start with the function:
[tex]\[ y = 6^x \][/tex]

2. Set [tex]\(x = 0\)[/tex]:
[tex]\[ y = 6^0 \][/tex]

3. Evaluate the expression [tex]\(6^0\)[/tex]:
[tex]\[ 6^0 = 1 \][/tex]

When [tex]\(x = 0\)[/tex], [tex]\(y\)[/tex] equals 1.

Therefore, the [tex]\(y\)[/tex]-intercept of the function [tex]\(y = 6^x\)[/tex] is [tex]\((0, 1)\)[/tex]. The correct answer to the given question is 1.
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.