Question

Find the range of the function for the domain
(-4,-2,0, 1.5,4).
f(x) = 5x²+ 4
​

Answer 1

Hello!

The answer is:

The range or output for the given domain is:

(84,24,4,15.25,84)

Why?

To find the range (output) for the given domain (inputs) we need to evaluate the given function with the given inputs or "x" values.

So, evaluating, we have:

- Range with "x" equal to -4:

$f(x)=5x^{2} +4\\\\f(-4)=5*(-4)^{2} +4=5*16+4=84$

- Range with "x" equal to -2:

$f(x)=5x^{2} +4\\\\f(-2)=5*(-2)^{2} +4=4*5+4=24$

- Range with "x" equal to 0:

$f(x)=5x^{2} +4\\\\f(-2)=5*(0)^{2} +4=0+4=4$

- Range with "x" equal to 1.5:

$f(x)=5x^{2} +4\\\\f(-2)=5*(1.5)^{2} +4=11.25+4=15.25$

- Range with "x" equal to 4:

$f(x)=5x^{2} +4\\\\f(-2)=5*(4)^{2} +4=80+4=84$

Hence, the range or output for the given domain is:

(84,24,4,15.25,84)

Have a nice day!