Question

If: f(x) = 2.50x + 15; then: f(6) =

Answer 1

Answer:

Part 1) $f(6)=30$

Part 2) $f(4)=27$

Part 3) $g(-2)=6$

Part 4) Part 5) Part 6) and part 7) in the procedure

Step-by-step explanation:

Part 1) we have

$f(x)=2.50x+15$

we know that

$f(6)$ is the value of the function when $x=6$

so

substitute the value of x in the function

$f(6)=2.50(6)+15=30$

Part 2) we have

$f(x)=42-3.75x$

we know that

$f(4)$ is the value of the function when $x=4$

so

substitute the value of x in the function

$f(4)=42-3.75(4)=27$

Part 3) we have

$g(x)=5x+16$

we know that

$g(-2)$ is the value of the function when $x=-2$

so

substitute the value of x in the function

$g(-2)=5(-2)+16=6$

Part 4) Which of the following functions match these outcomes:

$f(1)=6$

we know that

$f(1)$ is the value of the function when $x=1$

so

substitute the value of x in each of the functions and then compare

$f(1)=5(1)+1=6$-----> this function matches the outcome

$f(1)=4(1)+2=6$-----> this function matches the outcome

$f(1)=(1)^{2}+4 =5$-----> this function does not match the outcome

$f(1)=2(1)+4=6$-----> this function matches the outcome

$f(1)=12-2(1)=10$-----> this function does not match the outcome

Part 5) Which of the following functions match these outcomes:

$f(2)=8$

we know that

$f(2)$ is the value of the function when $x=2$

so

substitute the value of x in each of the functions and then compare

$f(2)=5(2)+1=11$-----> this function does not match the outcome

$f(2)=4(2)+2=10$-----> this function does not match the outcome

$f(2)=(2)^{2}+4 =8$-----> this function matches the outcome

$f(2)=2(2)+4=8$-----> this function matches the outcome

$f(2)=12-2(2)=6$-----> this function does not match the outcome

Part 6) Which of the following functions match these outcomes:

$f(3)=10$

we know that

$f(3)$ is the value of the function when $x=3$

so

substitute the value of x in each of the functions and then compare

$f(3)=5(3)+1=16$-----> this function does not match the outcome

$f(3)=4(3)+2=14$-----> this function does not match the outcome

$f(3)=(3)^{2}+4 =13$-----> this function does not match the outcome

$f(3)=2(3)+4=10$-----> this function matches the outcome

$f(3)=12-2(3)=6$-----> this function does not match the outcome

Part 7) Which of the following functions match these outcomes:

$f(4)=12$

we know that

$f(4)$ is the value of the function when $x=4$

so

substitute the value of x in each of the functions and then compare

$f(4)=5(4)+1=21$-----> this function does not match the outcome

$f(4)=4(4)+2=18$-----> this function does not match the outcome

$f(4)=(4)^{2}+4 =20$-----> this function does not match the outcome

$f(4)=2(4)+4=12$-----> this function matches the outcome

$f(4)=12-2(4)=4$-----> this function does not match the outcome