Math Problem Statement

no its -5^x

Solution

Thank you for the clarification. The function given is y=5xy = -5^x. Let's recalculate the output values for the corresponding xx values in the table.

Table Values:

The table indicates the following xx values:

  • x=1x = 1
  • x=2x = 2
  • x=3x = 3
  • x=4x = 4
  • x=5x = 5

Calculating yy for each xx:

  1. For x=1x = 1: y=51=5y = -5^1 = -5
  2. For x=2x = 2: y=52=25y = -5^2 = -25
  3. For x=3x = 3: y=53=125y = -5^3 = -125
  4. For x=4x = 4: y=54=625y = -5^4 = -625
  5. For x=5x = 5: y=55=3125y = -5^5 = -3125

Final Answer:

The output values in order from top to bottom are: 5,25,125,625,3125-5, -25, -125, -625, -3125

Would you like further details or have any questions? Here are some related questions you might find interesting:

  1. What is the effect of changing the base in the exponential function y=axy = -a^x?
  2. How does the function y=5xy = -5^x behave as xx increases?
  3. What happens to the output when xx is negative in y=5xy = -5^x?
  4. How would the function change if we had y=5xy = 5^x instead of y=5xy = -5^x?
  5. What is the rate of growth in the function y=5xy = -5^x compared to y=2xy = -2^x?

Tip: Exponential functions grow very quickly, so small changes in xx can lead to large changes in yy.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponential Functions

Formulas

Exponential function formula y = -a^x

Theorems

-

Suitable Grade Level

High School