Question

The function y= 5^x passes through the point

a. (5,1)
b. (-1,5)
c. (1,5)
d. (5,-1)

Please explain, help is very much appreciated! :)

Answer 1

The function y = 5^x passes through the point (1,5) because substituting x = 1 into the function results in y = 5, which matches the y-value of the point. So the correct option is c.

Step-by-step explanation:

The function in question is y = 5^x. To determine through which point the function passes, we substitute the x-value of each point into the function and check if the resultant y-value matches the y-value of that point.

• For point (5,1), if we substitute x = 5 into the function, we get y = 5^5, which is not equal to 1, so the function does not pass through point (5,1).
• For point (-1,5), if we substitute x = -1, we get y = 5^-1 which equals 1/5, not 5, so the function does not pass through point (-1,5).
• For point (1,5), substituting x = 1 gives us y = 5^1, which equals 5, so the function does pass through the point (1,5).
• Finally, for point (5,-1), substituting x = 5 into the function gives y = 5^5, which is a positive number, not -1, so the function does not pass through point (5,-1).

Therefore, the correct answer is option c. (1,5).

Answer 2

the correct answer is c :)
the point is described by two variables: x and y. it is written like that: (x, y). so the first variable in brackets is the x variable. the other is y. so pick every point a-d, put these values into the equation, solve it and check if the values before and after = are the same. if so - you are correct!
look:
c) (1, 5) so x=1, y=5
equation: y=5^x
putting values: 5=5^1 and this is true!