Chapter 2: Q. 28 (page 100)

If $f (x) = \{\begin{cases} x^{3} i f - 2 \leq x < 1 \\ 3 x + 2 i f 1 \leq x \leq 4 \end{cases}$
Find: (a) $f (- 1)$ (b) $f (0)$ (c) $f (1)$ (d) $f (3)$

Short Answer

Expert verified

(a) $- 1$

(b) $0$

(d) $11$

Step by step solution

Step 1.Given information

/the given function $f (x) = \{\begin{cases} x^{3} i f - 2 \leq x < 1 \\ 3 x + 2 i f 1 \leq x \leq 4 \end{cases}$

Step 2.Find the value of f(-1)

When $x = - 1$ , the equation for is given by $f (x) = x^{3}$

localid="1645803083162" $f (- 1) = {(- 1)}^{3} = - 1 T h e r e f o r e, t h e v a l u e o f f (- 1) = - 1$

Step 3.Find the value of f(0)

When $x = 0,$ the equation for is given by $f (x) = x^{3}$

localid="1645802558614" $f (0) = {(0)}^{3} = 0$

Therefore,the value of $f (0) = 0$ $f (0) = 0$

Step 4.Find the value of f(1)

When $x = 1$ the equation for is given by $f (x) = 3 x + 2$

$f (1) = 3 (1) + 2 = 3 + 2 = 5$

Therefore,the value of $f (1) = 5$

Step 5.Find the value of f(3)

When $x = 3,$ the equation for is given by $f (x) = 3 x + 2$

$f (3) = 3 (3) + 2 = 9 + 2 = 11$

Therefore,the value of $f (3) = 11$

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If $f (x) = \{\begin{cases} x^{3} i f - 2 \leq x < 1 \\ 3 x + 2 i f 1 \leq x \leq 4 \end{cases}$
Find: (a) $f (- 1)$ (b) $f (0)$ (c) $f (1)$ (d) $f (3)$

Short Answer

Step by step solution

Step 1.Given information

Step 2.Find the value of f(-1)

Step 3.Find the value of f(0)

Step 4.Find the value of f(1)

Step 5.Find the value of f(3)

One App. One Place for Learning.

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If f(x)=x3if-2≤x<13x+2if1≤x≤4Find: (a)f(-1) (b)f(0) (c)f(1) (d)f(3)

Short Answer

Step by step solution

Step 1.Given information

Step 2.Find the value of f(-1)

Step 3.Find the value of f(0)

Step 4.Find the value of f(1)

Step 5.Find the value of f(3)

One App. One Place for Learning.

Most popular questions from this chapter

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If $f (x) = \{\begin{cases} x^{3} i f - 2 \leq x < 1 \\ 3 x + 2 i f 1 \leq x \leq 4 \end{cases}$
Find: (a) $f (- 1)$ (b) $f (0)$ (c) $f (1)$ (d) $f (3)$