find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}
domain
-1/2;1/4; 2/5
range
-5 1/2; (5/4-2);0
To find the range of a function, we need to determine all the possible output values or y-values that the function can have for the given domain.
Given the function rule y = 5x - 2, we are provided with three specific domain values: {-1/2, 1/4, 2/5}.
To find the range, we will substitute each value from the domain into the function rule and calculate the corresponding output or y-value.
For the first domain value, x = -1/2:
y = 5 * (-1/2) - 2
= -5/2 - 2
= -5/2 - 4/2
= -9/2
So, when x = -1/2, y = -9/2
For the second domain value, x = 1/4:
y = 5 * (1/4) - 2
= 5/4 - 8/4
= -3/4
So, when x = 1/4, y = -3/4
For the third domain value, x = 2/5:
y = 5 * (2/5) - 2
= 10/5 - 2
= 2 - 2
= 0
So, when x = 2/5, y = 0
Now, we have calculated the y-values for all given domain values: {-9/2, -3/4, 0}
Therefore, the range of the function for the given domain {-1/2, 1/4, 2/5} is {-9/2, -3/4, 0}.