Questions: In parts (a)-(f), use the given figure. (a) Solve f(x)=10. (b) Solve f(x)=15. (c) Solve f(x)=0. (d) Solve f(x)>10. (e) Solve f(x) ≤ 15. (f) Solve 0<f(x)<15. (a) For what value of x does f(x)=10 ? x=20 (b) For what value of x does f(x)=15 ? x=□ (c) For what value of x does f(x)=0 ? x=□ (d) For which values of x is f(x)>10 ? For every x in the interval □, f(x)>10. (Type your answer in interval notation.) (e) For which values of x is f(x) ≤ 15 ? For every x in the interval □, f(x) ≤ 15. (Type your answer in interval notation.) (f) For which values of x is 0<f(x)<15 ? For every x in the interval □, 0<f(x)<15. (Type your answer in interval notation.)

In parts (a)-(f), use the given figure.
(a) Solve f(x)=10.
(b) Solve f(x)=15.
(c) Solve f(x)=0.
(d) Solve f(x)>10.
(e) Solve f(x) ≤ 15.
(f) Solve 0<f(x)<15.
(a) For what value of x does f(x)=10 ?
x=20
(b) For what value of x does f(x)=15 ?
x=□
(c) For what value of x does f(x)=0 ?
x=□
(d) For which values of x is f(x)>10 ?
For every x in the interval □, f(x)>10.
(Type your answer in interval notation.)
(e) For which values of x is f(x) ≤ 15 ?
For every x in the interval □, f(x) ≤ 15.
(Type your answer in interval notation.)
(f) For which values of x is 0<f(x)<15 ?
For every x in the interval □, 0<f(x)<15.
(Type your answer in interval notation.)
Transcript text: In parts (a)-(f), use the given figure. (a) Solve $f(x)=10$. (b) Solve $f(x)=15$. (c) Solve $f(x)=0$. (d) Solve $f(x)>10$. (e) Solve $f(x) \leq 15$. (f) Solve $010$ ? For every x in the interval $\square, \mathrm{f}(\mathrm{x})>10$. (Type your answer in interval notation.) (e) For which values of $x$ is $f(x) \leq 15$ ? For every x in the interval $\square, \mathrm{f}(\mathrm{x}) \leq 15$. (Type your answer in interval notation.) (f) For which values of x is $0<\mathrm{f}(\mathrm{x})<15$ ? For every $x$ in the interval $\square, 0
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Solution

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Solution Steps

Step 1: Solve f(x) = 10

From the graph, we see that f(x) = 10 at x = 20.

Step 2: Solve f(x) = 15

From the graph, we see that f(x) = 15 at x = 40.

Step 3: Solve f(x) = 0

From the graph, we see that f(x) = 0 at x = -20.

Final Answer

  1. For what value of x does f(x) = 10?
    • x = 20
  2. For what value of x does f(x) = 15?
    • x = 40
  3. For what value of x does f(x) = 0?
    • x = -20
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