Answer:
Step-by-step explanation:
The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.
1. When x=-1, then
f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.
2. When x=1, then
f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.
3. When x=2, then
f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.
Answer:
f(-1)=2
f(1)=6
f(2)=11
Step-by-step explanation:
The given function is [tex]f(x)=2x^3-3x^2+7[/tex]
Substitute x = -1 to find the value of f(-1)
[tex]f(-1)=2(-1)^3-3(-1)^2+7\\\\=-2-3+7\\\\=2[/tex]
Thus, f(-1)=2
Substitute x = 1 to find the value of f(1)
[tex]f(1)=2(1)^3-3(1)^2+7\\\\=2-3+7\\\\=6[/tex]
Thus, f(1)=6
Substitute x = 2 to find the value of f(2)
[tex]f(2)=2(2)^3-3(2)^2+7\\\\=16-12+7\\\\=11[/tex]
Thus, f(2)=11
